Find
the measures of the two complementary angles f the measure of the larger angle is 12 more than twice the measure of the smaller angle

The measures of two complementary angles are 64 degrees and 26 degrees

Let the larger angle be "a" and smaller angle be "b"

Two angles are Complementary when they add up to 90 degrees

so we get,

a + b = 90 eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

Let us solve eqn 1 and eqn 2 to get values of "a" and "b"

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

Thus the measures of two complementary angles are 64 degrees and 26 degrees

8121 because

130,000 divided by 16 is 8121

x= 149. 24+7=31. 180-31=149

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