Question

in the figure below, m∠1 = 3x° and m∠2=(x + 84)°. find the angle measures. m∠1 = m∠2 =

Explanation:

Step1: Set up equation

Since ∠1 and ∠2 are supplementary (linear - pair), 3x+(x + 84)=180.

Step2: Simplify equation

Combine like - terms: 4x+84 = 180.

Step3: Solve for x

Subtract 84 from both sides: 4x=180 - 84 = 96. Then x = 24.

Step4: Find angle measures

m∠1=3x=3×24 = 72°. m∠2=x + 84=24 + 84 = 108°.

Answer:

m∠1 = 72°, m∠2 = 108°