Question

question 4 let angles a and b be complementary and next to each other. let angles c and d be complementary and next to each other. suppose angles b and c are next to each other. what type of angle will the sum of a, b, c, and d create? acute straight right obtuse question 5 angle x is congruent to angle y. when added together, angle x and angle y form a supplementary angle. what type of angle is angle x? obtuse straight right acute

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90 degrees. Since \(A + B=90^{\circ}\) and \(C + D = 90^{\circ}\).

Step2: Calculate the sum of \(A\), \(B\), \(C\), and \(D\)

\((A + B)+(C + D)=90^{\circ}+90^{\circ}=180^{\circ}\)

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180 degrees. Let \(\angle X=\angle Y\), and \(\angle X+\angle Y = 180^{\circ}\).

Step2: Solve for \(\angle X\)

If \(\angle X+\angle Y = 180^{\circ}\) and \(\angle X=\angle Y\), then \(2\angle X=180^{\circ}\), so \(\angle X = 90^{\circ}\).

Answer:

B. Straight