Question

Find the measure of an angle which is three times
its supplement. ​

Answer 1

Answer:

We know from Plane Geometry that the sum of the measures of an angle and its supplement is 180°, i.e., if A is the measure of an angle, then the measure of its supplement is x = 180° - A, and we can write the following equation:

x + A = 180°

Since angle measure A is three times the measure x of the supplement, then:

A = 3x, and, consequently, substituting this into the above equation, we have:

x + 3x = 180°

4x = 180°

(4x)/4 = 180°/4

(4/4)x = 180°/4

(1)x = 45°

x = 45°

Therefore, the measurement A of an angle that is three times the measurement x of the supplement of the angle is:

A = 3x

= 3(45°)

= 135°

CHECK:

x + A = 180°

45° + 135° = 180°

180° = 180°

Step-by-step explanation:

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