Question

The measure of an angle is 40° more than the measure of its complement. Find
its measure.
​

Answer 1

Given:-

• Measure of an angle is 40° more than the measure of its complement.

⠀

To find:-

• It's measure.

⠀

Solution:-

Let,

• the required angle be x.
• the measure of it's complement be 90 - x.

⠀

According to the question

→ x - (90 - x) = 40

→ x - 90 + x = 40

→ 2x = 40 + 90 = 130

→ x = 130/2

→ x = 65°

⠀

Hence,

• it's measure is 65°.

Answer 2

Question:

The measure of an angle is 40° more than the measure of its complement. Find

its measure.

Given:

• Measure of an angle is 40° more than the measure of its complement.

⠀

To find:

• It's measure.

⠀

Solution:

Let,

• the required angle be x.

• the measure of it's complement be 90 - x.

⠀

According to the question

➪x - (90 - x) = 40

➪x - 90 + x = 40

➪ 2x = 40 + 90 = 130

$➪ \: x = \frac{130}{2}$

➪ x = 65°

⠀

Hence,

it's measure is

$\bold{\huge{\fbox{\color{maroon}{65°}}}}$

$\sf\red{hope\:it\:helps\:you}$