SOLUTION: The sum of the measures of the angles of any quadrilateral is 360°. The measures of ∠A and ∠B are the same. The measure of ∠C is 17° greater than the measure of &
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Question 977524: The sum of the measures of the angles of any quadrilateral is 360°. The measures of ∠A and ∠B are the same. The measure of ∠C is 17° greater than the measure of ∠A, and the measure of ∠D is 37° less than ∠B. Find the measure of ∠A, ∠B, ∠C, and ∠D.
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
That is the system. Do you need more help?
-Yes!-
Try to use the first equation to eliminate A.
-
,
and notice how two of these equations are in terms of just B...
substitute for them in the "360" equation:
Work with this to solve for the value of B.
Do what you know you need to finish.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Solve for 
then calculate 
and 
John
My calculator said it, I believe it, that settles it
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