Question

Two angles are congruent and complementary
to each other. The measure of each angle is​

Answer 1

Congruent angles have the same measurement (are the same size).

If ∠1≅∠2

, then

m ∠1 = x

m ∠2 =x

holds true.

Complementary angles have a sum of 90˚

. Thus, if ∠1 and ∠2 are complementary,

m∠1+m∠2= 90

Substitute the equivalent forms of these angle measurements (x,x) .

x + x = 90

Solve algebraically.

2x = 90

x = 45

Each angle is 45˚ .

Since complementary angles' sum is 90˚, they form a right angle.