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gregori [183]
3 years ago
9

Which statement justifies why EBC measures 90°? Given: angles ABD and DBC are complementary

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

The justification is: <em><u>A. A linear pair is two adjacent, supplementary angles.</u></em>

  • <u><em>Given:</em></u>

m \angle ABD $ and $ m\angle DBC are complementary angles,

m \angle ABD + m\angle DBC = 90^{\circ}\\m \angle ABD + m\angle DBC = m \angle ABC \\

Therefore:

m \angle ABC= 90^{\circ}

\angle ABC $ and $ m\angle EBC are two adjacent angles on a straight line.

Therefore:

\angle ABC + m\angle EBC = 180^{\circ}\\ (supplementary angles)

Substitute

90 + m\angle EBC = 180\\m\angle EBC = 180 - 90\\m\angle EBC = 90^{\circ}

Therefore, the justification as to why m\angle EBC = 90^{\circ} is:<u> A. A linear pair is two adjacent, supplementary angles.</u>

<u></u>

Learn more here:

brainly.com/question/10670714

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