Question

The measure of an angle which is 10°more than one-fourth of its complement

Answer 1

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Given :

• Angle is 10 more than 1/4 than its complement

Let the angle be x

x+10 =1/4(90)

x+10 = 90/4

x= 90/4-10

x= 90-40/10

x= 50/10

x= 5

Answer 2

Answer:

Angle is 26

Step-by-step explanation:

Let its complement be x

Angle = 1/4 of x + 10 = x/4 + 10

x/4 + 10 + x = 90 ....complementary angles sum is 90

x / 4 + 40 / 4 + 4x / 4 = 90

x + 40 + 4x / 4 = 90

5x + 40 / 4 = 90

5x + 40 = 90 * 4

5x + 40 = 360

5x = 360 - 40

5x = 320

x = 64

Angle = x/4 + 10 = 26