Question

22. Two angles are equal in a quadrilateral. The third angle is equal to the sum of the two equal angles, and the fourth angle is 60° less than twice the sum of the other three angles. What are the measures of the four angles? (A) 50°, 75°, 35°, 180° (B) 60°, 65°, 75°, 160° (C) 35°, 35°, 75°, 215° (D) 35°, 35°, 70°, 220°

          22. Two angles are equal in a quadrilateral. The
third angle is equal to the sum of the two equal
angles, and the fourth angle is 60° less than
twice the sum of the other three angles. What
are the measures of the four angles?
(A) 50°, 75°, 35°, 180°
(B) 60°, 65°, 75°, 160°
(C) 35°, 35°, 75°, 215°
(D) 35°, 35°, 70°, 220°

22. Two angles are equal in a quadrilateral. The
third angle is equal to the sum of the two equal
angles, and the fourth angle is 60° less than
twice the sum of the other three angles. What
are the measures of the four angles?
(A) 50°, 75°, 35°, 180°
(B) 60°, 65°, 75°, 160°
(C) 35°, 35°, 75°, 215°
(D) 35°, 35°, 70°, 220°

Added by Robert M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Angela Miyamoto

Step 1

** Let's call the two equal angles \(A\) and \(B\), so \(A = B\). Let's call the third angle \(C\) and the fourth angle \(D\). **Step 2: Translate the problem into equations.** From the problem, we have: Show more…

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22. Two angles are equal in a quadrilateral: The third angle is equal to the sum of the two equal angles, and the fourth angle is 60" less than twice the sum of the other three angles: What are the measures of the four angles? (A) 508 75", 35"_ 180" (B) 60*, 658 1 75" 1600 (C) 35", 35" , 759 2158 (D) 35", 35" 708 2209