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

Answer:

16 = small

74 = big

Step-by-step 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

Answer:

$y=16^{\circ},x=74^{\circ}$

Step-by-step 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.

$x+y=90^{\circ}$

$4y+10+y=90$

$5y=90-10=80$

$y=\frac{80}{5}=16^{\circ}$

Substitute the value then we get

$x=4(16)+10=74^{\circ}$