SOLUTION: Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
The
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Question 1167446: Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
The figure shows two parallel lines and a transversal. The first parallel line is C A. The second parallel line is D B. The transversal is D C. Points A and B lie on the same side of the transversal.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A transversal across two parallel lines creates several angles. Vertical angles are equal. Opposite interior angles are equal. Opposite exterior angles are equal. Adjacent angles are supplementary, that is, their sum is 180 degrees. Same side interior angles are supplementary and same side exterior angles are supplementary.
Decide whether the two angles you are talking about are equal or supplementary. Then set the expressions equal to each other or their sum equal to 180 degrees and then solve for x. Once you have the value of x, the measure of the desired angles can be found by simple arithmetic.
John
My calculator said it, I believe it, that settles it
I > Ø
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