Question

∠a and ∠b are supplementary angles. the m∠a = 111° and the m∠b=(x + 7)°. find the value of x.
a 111
b 69
c 62
d 180

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, m∠A + m∠B=180°.

Step2: Substitute the given values

Given m∠A = 111° and m∠B=(x + 7)°, we have the equation 111+(x + 7)=180.

Step3: Simplify the left - hand side

Combine like terms: 111+7+x=180, which simplifies to 118+x=180.

Step4: Solve for x

Subtract 118 from both sides of the equation: x=180 - 118.
x = 62

Answer:

C. 62