Question

the ratio of the measures of two complementary angles is 7:8 what is the measure of the smaller angle

Answer 1

Let x be the common ratio
7x+8x=90
15x=90
X=90/15
X=6
7x=7*6=42°
8x=8*6=48°
Smaller angle =42°

Answer 2

Answer:

Smaller angle = 42°

Step-by-step explanation:

Complementary angles:

Sum of any two angles equal to 90° is called complementary angles.

Given ratio of two complementary angles = 7:8

Let smaller angle = 7x,

Larger angle = 8x

=> 7x+8x = 90°

=> 15x = 90°

Divide both sides by 15, we get

=> x = 6

Now,

Smaller angle = 7x = 7×6=42°

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