Find the measurement of both complementary angles, if one of them is 3 times greater than the other one.

Complementary angles are angles whose sum is 90 degrees.  To solve this problem, we can set up an equation:

x+3x=90

In this equation, x represents the smaller angle, so the second angle is 3 times it (3x), and the sum of the angles is 90.  Now, solve for x.

*Combine like terms*

4x=90

*Divide both sides by 4*

x=22.5

22.5 degrees is the measure of the smaller angle.

However, the question asks for both angles so you also need to find the measure of the larger angle.  This is simple: just multiply the measure of the smaller angle (22.5) by 3:

22.5x3=67.5

67.5 degrees is the measure of the larger angle.

Hope this helps!!

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh