Find the measure of an angle if the measures of a supplement and a complement of the angle have the ratio 5: 2.

Let the angle be x

180°- x = 5 units (1)

90°- x = 2 units (2)

(1) - (2)

90° = 3 units

1 unit = 30°

Substitute 1 unit = 30° into Eqn 1

180° - × = 150°

x = 30°

Note: this method is using the method of simultaneous equation

it can be solvedusing other methods

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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