Questions: Geometry Finding an angle measure given extended triangles Find (x). [x=]

Geometry Finding an angle measure given extended triangles Find (x). [x=]
Transcript text: Geometry Finding an angle measure given extended triangles Find $x$. \[ x= \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the given angles

The problem provides two angles: 56° and 102°.

Step 2: Recognize the relationship between angles

The angles 56° and 102° are exterior angles of the triangle. The sum of the interior angles of a triangle is always 180°.

Step 3: Calculate the unknown angle

To find the unknown angle \( x \), we use the fact that the sum of the interior angles of a triangle is 180°. The unknown angle \( x \) is the exterior angle opposite to the interior angle 56°.

Since the exterior angle is equal to the sum of the two non-adjacent interior angles, we have: \[ x = 56° + 102° \]

Final Answer

\[ x = 158° \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Donald's home was recently destroyed by a fire. He made an insurance claim for 250,000. Who is responsible for paying him the 250,000? A. the policyholder B. the insurer C. the person with power of attorney D. the rider
failedAnswered
he wasn't lying. "Give me another beer," I said. Then someone called him from the back, and he drew the beer and left. I drank it slowly, hoping Brother Maceo would appear before I had finished. When he didn't I waved to Barrelhouse and left for the district. Perhaps Brother Tarp could explain; or at least tell me something about Clifton. I walked through the dark block over to Seventh and started down; things were beginning to look serious. Along the way I saw not a single sign of Brotherhood activity. In a hot side street I came upon a couple striking matches along the curb, kneeling as though looking for a lost coin, the matches flaring dimly in their faces. Then I found myself in a strangely familiar block and broke out in a sweat: I had walked almost to Mary's door, and turned now and hurried away. Barrelhouse had prepared me for the darkened windows of the district, but not, when I let myself in, to call in vain through the dark to Brother Tarp. I went to the room where he slept, but he was not there; then I went through the dark hall to my old office and threw myself into my desk chair, exhausted. Everything seemed to be slipping away from me and I could find no quick absorbing action that would get it under control. I tried to think of whom among the district committee I might call for information concerning Clifton, but here again I was balked. For if I selected one who believed that I had requested to be transferred because I hated my own people it would only complicate matters. No doubt there would be some who'd resent my return, so it was best to confront them all at once without giving any one of them the opportunity to organize any sentiment against me. It was best that I talk with Brother Tarp, whom I trusted. When he came in he could give me an idea of the state of affairs, and perhaps tell me what had actually happened to Clifton. But Brother Tarp didn't arrive. I went out and got a
failedAnswered
When Coca-Cola produces a campaign to advocate water stewardship, they are actively engaging in social responsibility. (Enter one word in blank)
failedAnswered
At t=0 s, the number of Y particles is the number of A particles. At t=60 s, the number of the Z particles is the number of B particles. Therefore, the number of Y particles turned into Z particles is the number of A particles turned to B particles for the same amount of time. Therefore, the rate of reaction Y → Z is the rate of the reaction A → B.
failedAnswered
-left(frac25right)^3 = frac2^2-5 =