Question

What are the missing variables?

Answer 1

Check the picture below.

Answer 2

• x = 35°
• y = 55°

Explanation:

The angle marked x° is an inscribed angle that subtends an arc shown as 70°. The inscribed angle is half the measure of the arc:

x° = 70°/2

x° = 35°

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The angles marked x° and y° are the acute angles of a right triangle, so are complementary.

y° = 90° -x° = 90° -35°

y° = 55°