Questions: Question 7 (Mandatory) (20 points) Find the measure of the angle indicated in bold. a) x=1.5° b) x=35° c) x=4° d) x=85°

Question 7 (Mandatory) (20 points) Find the measure of the angle indicated in bold. a) x=1.5° b) x=35° c) x=4° d) x=85°
Transcript text: Question 7 (Mandatory) (20 points) Find the measure of the angle indicated in bold. a) $x=1.5^{\circ}$ b) $x=35^{\circ}$ c) $x=4^{\circ}$ d) $x=85^{\circ}$
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Solution

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Solution Steps

Step 1: Set up the equation

The given angles are consecutive interior angles, which are supplementary. Therefore, their sum is 180°. The equation is:

(20x + 5) + (24x - 1) = 180

Step 2: Simplify and solve for x

Combine like terms:

44x + 4 = 180

Subtract 4 from both sides:

44x = 176

Divide both sides by 44:

x = 4

Final Answer:

The correct answer is c) x = 4°

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