Question

The measure of angle A is 60 more than twice its supplement. Find the

measure of angle A *
A.86
B. 100
C. 120
D. 140

Answer 1

Hi there! :)

Answer:

m∠A = D. 140°

Let the supplement of angle A be called "Angle B". Assign this angle a value of "x":

Write an equation to represent the value of Angle A: 60 + 2x

Supplementary angles sum up to 180°, therefore:

180 = x + 60 + 2x

Combine like terms and simplify:

180 = 3x + 60

180 - 60 = 3x

120 = 3x

120/3 = 3x/3

x = 40°.

Find the measure of Angle A by substituting this value into the equation:

2(40) + 60 = 140° = m∠A