Question

Two angles are complementary. The measure of the larger angle is 10 more than 4 times the measure of the smaller angle. Find the measures of both angles.

Can someone please help me?

Answer 1

16 = small

74 = big

Explanation:

4x+10 = big angle

x = small angle

4x+10+x = 90

5x+10 = 90

5x = 80

x = 16

4 x 16 + 10 = 74

Avocado out!!!!!!!!!

Answer 2

`y=16^(\circ),x=74^(\circ)`

Explanation:

Let complementary angles are x and y.

Let x is larger angle between x and y.

We have to find the measure of both angles x and y.

According to question

`x=4y+10`

We know that complementary angles :Two angles whose sum is 90 degrees.

`x+y=90^(\circ)`

`4y+10+y=90`

`5y=90-10=80`

`y=(80)/(5)=16^(\circ)`

Substitute the value then we get

`x=4(16)+10=74^(\circ)`