Question

If angle ( y - 15°)and ( y +15°) form a linear pair, then the measures of the angles are​

Answer 1

Required Answer :

The measure of two angles is 75° and 105°

Given :

• Two linear angles in terms of x :-

1. (y - 15°)
2. (y + 15°)

To find :

• The measure of the angles = ?

Explanation :

In this question, we are given two angles in terms of x and we are asked to find the value of the two linear angles. The angles whose sum is 180° are linear angles. So, by adding both the angles and keeping them equal to 180° we can find the value of x, consequently we will get the measure of both the angles.

Solution :

→ (y - 15°) + (y + 15°) = 180°

→ y - 15° + y + 15° = 180°

→ 2y = 180°

→ y = 180°/2

→ y = 90°

→ The value of y = 90°

Substituting the value of y :-

First angle :

→ (y - 15°)

→ 90° - 15°

→ 75°

Second angle :

→ (y + 15°)

→ 90° + 15°

→ 105°

Therefore, the measure of two angles is 75° and 105°

Answer 2

Answer:

75°,105°

Step-by-step explanation:

(y-15°)+(y+15°)=180°

y-15+y+15=180°

2y=180°

y=180/2

y=90°

(y-15)= 90-15= 75°

(y+15)= 90+15= 105°