Question

add a ray
angle mrq is shown below. add rays to the diagram to the conditions. be sure to label each of your rays and use the indicated color. then answer the questions about your completed diagram.
a. ∠arm and ∠mrq are supplementary (green)
b. ∠brm and ∠mrq are complementary (blue)
c. ray rc bisects ∠mrq (red)
d. ∠drm is obtuse (yellow)
e. ∠erq is acute (brown)

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°. For ∠ARM and ∠MRG to be supplementary, we need to draw ray RA such that ∠ARM + ∠MRG=180°.

Step2: Recall complementary - angle definition

Complementary angles add up to 90°. Draw ray RB such that ∠BRM + ∠MRG = 90°.

Step3: Recall angle - bisector definition

Draw ray RC such that ∠MRC=∠CRG to bisect ∠MRG.

Step4: Recall obtuse - angle definition

Draw ray RD such that ∠DRM is between 90° and 180° to make it obtuse.

Step5: Recall acute - angle definition

Draw ray RE such that ∠ERG is between 0° and 90° to make it acute.

Answer:

Follow the above - described steps to draw the rays RA (green), RB (blue), RC (red), RD (yellow), and RE (brown) with proper labeling in the diagram of ∠MRG.