Question

Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘. Question 1 Part A Write an equation that can be used to determine the value of x. Enter the correct answer in the box.

Answer 1

Answer:

Part A

This equation is given as

180° = ∠A + ∠B

180° = (2x+5)° + (4x+25)°

Part B

The value of x = 25°

Step-by-step explanation:

We are told in the question that:

Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (2x+5)∘ and the measure of ∠B is (4x+25)∘.

Question 1 Part A Write an equation that can be used to determine the value of x.

Two angles are called supplementary when their measures add up to 180 degrees.

This equation is given as

180° = ∠A + ∠B

180° = (2x+5)° + (4x+25)°

Part B

Solving the equation

180° = (2x+5)° + (4x+25)°

180° = 2x + 5 + 4x + 25

180° = 6x + 30

Collect like terms

180° - 30° = 6x

150° = 6x

x = 150/6

x = 25°

Enter the correct answer in the box.