which statement justifies why angle EBC measures 90?
Accepted Solution
A:
Answer:The sum of the measures of two complementary angles is 90 degreesStep-by-step explanation:we know thatIf two angles are complementary, then their sum is equal to 90 degreesIn this problem we have thatm∠ABD and m∠DBC are complementarysom∠ABD + m∠DBC=90° -----> by complementary anglesand(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pairFind the measure of angle EBCsubstitute the given values(90°)+m∠EBC=180°∠EBC=180°-90°=90°