The measure of the angle that is needed to open the door to form an angle that complements angle 1 which is 72° is 18°.
What is a Complementary Angle?
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are complementary angles of each other.
Since a pair of complementary angles are those angles whose sum is 90°. Therefore, the sum of the measure of the angle needed to open the door to form an angle that complements angle 1 and the measure of angle 1 can be written as,
∠1 + x = 90°
72° + x = 90°
x = 90° - 72°
x = 18°
Hence, the measure of the angle that is needed to open the door to form an angle that complements angle 1 which is 72° is 18°.
Learn more about Complementary Angles here:
https://brainly.com/question/5708372
#SPJ2
