Question

Which of the statements supports the conclusion from the diagram and the GIVEN information.

a) Vertical angles are equal in measure.
b) Perpendicular lines meet to form right angles.
c) Adjacent angles whose exterior sides are perpendicular rays are complementary.
d) Adjacent angles whose exterior sides are perpendicular rays are supplementary.

Answer 1

c) Adjacent angles whose exterior sides are perpendicular rays are complementary.

Complementary = add up to 90
Supplementary = add up to 180

Answer 2

C. adjacent angles whose exterior sides are perpendicular rays are complementary.

Explanation:

We are given that line RU is perpendicular to line SW.

We are given that conclusion is

`\angle SPT+\angle TPU=90^(\circ)`

Now, we have to find the statement that supports the conclusion from the diagram and given information

The line RU and SW are perpendicular to each other therefore, they made right angle to each other.

Adjacent angles: That angles in which one vertex and one ray is common are called adjacent angles.

Complementary angles: when the sum of adjacent angles is 90 degrees. Then, the adjacent angles are complementary.

Angle SPT and angle TPU are adjacent angles and complementary.

Therefore, option C is correct option.Because , it supports the conclusion and given information.

Answer : C .adjacent angles whose exterior sides are perpendicular rays are complementary.