Question

In the figure below, m angle 1= (x + 88) and m angle2 =3xº, Find the angle measures.

Answer 1

Answer:

angle 1 = 111

angle 2 = 69

Step-by-step explanation:

Supplementary Angles add up to 180°.

We are given angle 1 = (x+88)° and angle 2 = 3x°

The sum of both angles add up to 180°

x+88+3x=180

4x=180-88

4x=92

x = 23

To find angle 1, substitute x = 23 in (x+88)°

23°+88° = 111°

Therefore, angle 1 is 111°

To find angle 2, substitute x = 23 on 3x°

3(23) = 69°

Checking if the answer is right by combining 111 and 69.

111+69 = 180

Hence, the answers are 111° and 69°.