The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. find the measure of the smaller angle

Complementary angles are pair of two non-right angles whose sum is equal to 90°

Let the two complementary angles be : Δ and Ф

Given : Sum of the measures of two complementary angles exceed the difference of their measures by 72°

 Δ + Ф - 72° = Δ - Ф

 2Ф = 72°

 Ф = 36°

As Δ and Ф are complementary, their sum should be equal to 90°

 Δ + 36° = 90°

 Δ = 90° - 36°

 Δ = 54°

So, Complementary angles are 54° and 36°

Answer : The Measure of the Smaller Angle is 36°

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula