Question 830236
In parallelogram ABCD the measure of angle A is three times that of angle B. What are the measures of C and D?


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"the measure of angle A is three times that of angle B" ----> {{{A = 3B}}}


For ALL parallelograms, the adjacent angles are supplementary. So that means the two angles add to 180 degrees


A+B = 180


3B+B = 180 ... plug in A = 3B


4B = 180


B = 180/4


B = 45


A = 3B


A = 3*45


A = 135


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For ALL parallelograms, the opposite angles are congruent (ie equal), which means


A = C


135 = C


C = 135



B = D


45 = D


D = 45


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Summary:


A = 135 degrees
B = 45 degrees<font color="red">
C = 135 degrees
D = 45 degrees
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