Question

An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?​

Answer 1

$\bf \large\underline{Given:- }$

Measure of an angle is 32° more than the measure of it's complementary angle.

$\bf \large\underline{To\:Find:-}$

The measure of each angle

$\bf \large\underline{Solution:-}$

Let ,

One of the complementary angles be "x" . Then the other angle becomes " (x + 32)° " {given condition}

Now ,

Sum of these two angles is equal to 90° . Since they are complementary angles

→ x + x + 32 = 90°

→ 2x + 32 = 90°

→ 2x = 90° - 32°

→ 2x = 58°

→ x = 58°/2

→ x = 29°

Then ,

x = 29°

(x + 32) = 29° + 32° = 61°

• Hence , The measures of the two given angles is 29° and 61°

Answer 2

Answer:

Given :

Measure of an angle is 32° more than the measure of it's complementary angle.

To Find :

The measure of each angle

Solution :

Let ,

One of the complementary angles be "x" . Then the other angle becomes " (x + 32)° " {given condition}

Now ,

Sum of these two angles is equal to 90° . Since they are complementary angles

→ x + x + 32 = 90°

→ 2x + 32 = 90°

→ 2x = 90° - 32°

→ 2x = 58°

→ x = 58°/2

→ x = 29°

Then ,

x = 29°

(x + 32) = 29° + 32° = 61°

Hence ,

The measures of the two given angles is 29° and 61°