Someone please help me and please show your working clearly. Could you please answer both 3 and 4?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Someone please help me and please show your working clearly. Could you please answer both 3 and 4?

Expert Solution
Step 1

3.

Given data:

*The angle B and angle C are complementary angles.

Complementary angles are those angles whose sum are equal to 90 degrees.

Therefore,

B+C=90°

Also from the figure.

B+29°=90°B=61°

Thus, the angle B is B=61°

Therefore,

B+C=90°61°+C=90°C=29°

Thus, the angle C is C=29°

Step 2

The sum of all the angles along the straight line is 180 degrees,

Thus,

A+29°+B+C=180°A+29°+B+C=180°A+29°+61°+29°=180°A=61°

Thus the angle A is A=61°

4.

Given data:

*The angle 3 is 3=20°.

The angle 4 and angle 3 is equal to 90°.

3+4=90°4=90°-20°=70°

Thus, the angle 4 is 4=70°.

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