Question

Find the measure of angle Y.

Answer 1

We know that,

Angles of a triangle adds to 180° .

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=> W + X + Y = 180°

=> (4n-9°) + (7n-16°) + (6n-16°) = 180°

=> 17n-41° = 180°

=> 17n = 180° + 41°

=> 17n = 221°

=> n = 221/17

=> n = 13°

The measure of Y is,

=> 6n-16° = 6(13°) -16° = 62°

Y = 62°

Answer 2

Y = 62°

Explanation:

The sum of angles in a triangle is 180°.

W + X + Y = 180°

(4n -9°) + (7n -16°) +(6n -16°) = 180°

17n -41° = 180° . . . . . . . . . . simplify

17n = 221° . . . . . . . . . . add 41°

n = 13° . . . . . . . . . . divide by 17

Then the measure of Y is ...

Y = 6n -16° = 6(13°) -16° = 78° -16°

Y = 62°

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The other angles are W = 43°, X = 75°.