One angle of a linear pair is 10 more than two-thirds the other angle. find the measure of both angles.

102° and 78°

Step-by-step explanation:

let one angle be x then the other angle is

x + 10 ( 10 more than two-thirds the other angle )

A linear pair of angles sum to 180°, hence

x + x + 10 = 180

x + 10 = 180 ( subtract 10 from both sides )

x = 170

multiply both sides by 3 and divide by 5

5x = 510

x = 102

The 2 angles are x = 102° and

x + 10 = × 102 + 10 = 68 + 10 = 78°

As a check : 102 + 78 = 180 → correct

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step-by-step explanation: