Question

An angle measures 26° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Step-by-step explanation:

i hope it is helpful for you

mark as brainlist

Answer 2

Given : An angle measures 26° more than the measure of its complementary angle.

To find : Measurement of each angle.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

To solve this mathematical problem, we have to know more about complementary angles.

What is complementary angle ?

• "When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other."
• Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.

Let,

The measurement of the complementary angle of the said angle = x°

So,

The said angle = (x°+26°)

According to the previously discussed definition of complementary angle, we can write -

(x) + (x+26) = 90

2x+26 = 90

2×(x+13) = 2×45

x+13 = 45

x = 45-13

x = 32

So,

Complementary angle of the said angle = 32°

Said angle = (32°+26°) = 58°

Hence, the angles are 32° and 58°