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22 votes
22 votes
Find unknown angle with work

Find unknown angle with work-example-1
User Rowhawn
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2.7k points

2 Answers

16 votes
16 votes
110 is on a straight line therefore subtract it from 180 you will get the inner angles

ACB=180-110
ACB=70

ACB=ABC
(both sides are congruent)

we know that total of all the angle in a triangle is 180
so

ACB+ABC+BAC=180
70+70+b=180
140+b=180
b=180-140
b=40

b is 40 :)
User Nazar Tereshkovych
by
3.0k points
12 votes
12 votes

Answer:

40°

Explanation:

At point C, the angle is shown as 110°.
Since a line is 180°, you now know that the other side of point C is 70°.
Line A-B and A-C are equal (shown by the short lines), meaning the angle at point B is also 70°,
A triangle is 180° in total, so the equation would be 180° - 2(70°) = 180° - 140° = 40°

User Kevin Little
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2.7k points