MATH SOLVE

2 months ago

Q:
# PLEASE ANSWER 20 POINTS!Select the correct answer from each drop-down menu.In the figure, angle I measures 56° and angle A measures 38°.The measurement of angle B is °.The measurement of angle C is °.The measurement of angle F is °.https://cdn.ple.platoweb.com/EdAssets/b73b83aa040e4388a683a4ed3b59bc30?ts=635354632236230000

Accepted Solution

A:

To find the measure angles B, C and F, you will need to know that the sum of all the angles in a triangle total 180 degrees and the sum of all the angles in a quadrilateral equal 360 degrees.

1. Start with what you know: angles I, E, and H needs to equal 180 (it is a straight line). 180 - 56 - 90 = 34 degrees.

H = 34 degrees

2. Angles H, G, and A must equal 180, so 180-34-38 = 108 degrees

G = 108 degrees.

3. Angles G and F must equal 180 degrees (straight line), so 180-108 = 72

F = 72 degrees

4. Angles E, D, F, and C must equal 360, so 360-180-72 = 108

C = 108 degrees

5. Angles J and D must add up to 180 (straight line); so 180-90=90

J = 90 degrees

6. Angles B, I, and J must add up to 180, so 180-56-90=34

B = 34 degrees

1. Start with what you know: angles I, E, and H needs to equal 180 (it is a straight line). 180 - 56 - 90 = 34 degrees.

H = 34 degrees

2. Angles H, G, and A must equal 180, so 180-34-38 = 108 degrees

G = 108 degrees.

3. Angles G and F must equal 180 degrees (straight line), so 180-108 = 72

F = 72 degrees

4. Angles E, D, F, and C must equal 360, so 360-180-72 = 108

C = 108 degrees

5. Angles J and D must add up to 180 (straight line); so 180-90=90

J = 90 degrees

6. Angles B, I, and J must add up to 180, so 180-56-90=34

B = 34 degrees