Question

determine whether the statement can be assumed from the given figure. explain.

∠6 and ∠8 are complementary.
yes because ∠7 is a(n) right angle ∠6 and ∠8 must form a(n) select choice
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Explanation:

Complementary angles sum to \(90^{\circ}\). A right angle is \(90^{\circ}\). In the figure, the sum of \(\angle6\), \(\angle7\), and \(\angle8\) is \(180^{\circ}\) (a straight line). Since \(\angle7\) is a right angle (\(90^{\circ}\)), then \(\angle6+\angle8 = 180^{\circ}-\angle7=180^{\circ} - 90^{\circ}=90^{\circ}\). So \(\angle6\) and \(\angle8\) must form a right angle.

Answer:

Yes, because \(\angle7\) is a right angle, \(\angle6\) and \(\angle8\) must form a right angle.