Questions: Find the measure of angle X. Explain how you Know.

Transcript text: b. Find the measure of angle $X$. Explain how you Know.

Solution

Solution Steps

To find the measure of angle $ X $, we need to use the given information about the angles in the problem. This could involve using properties of triangles, such as the sum of interior angles being 180 degrees, or other geometric properties and theorems.

Step 1: Given Angles

We are given two angles in a triangle: $ \angle A = 50^\circ $ and $ \angle B = 60^\circ $.

Step 2: Sum of Angles in a Triangle

The sum of the interior angles in a triangle is always $ 180^\circ $. Therefore, we can express this relationship as: \[ \angle A + \angle B + \angle X = 180^\circ \]

Step 3: Solve for Angle $ X $

Substituting the known values into the equation, we have: \[ 50^\circ + 60^\circ + \angle X = 180^\circ \] This simplifies to: \[ \angle X = 180^\circ - (50^\circ + 60^\circ) \] Calculating the right side gives: \[ \angle X = 180^\circ - 110^\circ = 70^\circ \]

Final Answer

Thus, the measure of angle $ X $ is \$\boxed{70^\circ}\$.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >