Question

A kite has angle measures of 7x, 65, 85, and 105. Find the value of x. What are the measures of the angles that are congruent?

Answer 1

• x = 15
• 105

Explanation:

A kite is a quadrilateral, so the sum of its angle measures is 360°.

7x + 65 + 85 + 105 = 360

7x = 105 . . . . . . . . . . . . . . . . . subtract 255. This answers the second part of the question: the missing angle is 105°, so is congruent to the 105° angle given.

105/7 = x = 15 . . . . . . . . . . . . divide by the coefficient of x