SOLUTION: 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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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?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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" ---->
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
C = 135 degrees
D = 45 degrees
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