156k views
2 votes
1159
?
40°
Solve for the missing angle

1159 ? 40° Solve for the missing angle-example-1
User Lei Yang
by
5.6k points

2 Answers

4 votes

Answer:

75 degrees

Explanation:

Let's label the angles:

The one near 115 degrees is A.

The ? is B.

The one near 40 is C.

(All of them are interior.)

To find A:

180 - 115 = 65

A = 65 degrees

To find C (this one's a bit hard to explain):

The cross made by two lines near the 40 degrees makes vertical angles.

So, C = 40 degrees

All angles in a triangle add up to 180 degrees so:

65 + 40 = 105

180 - 105 = 75

So:

Angle B = 75 degrees

Hope this helps!

(please let me know if you need further clarification)

User Madeye
by
6.3k points
1 vote

Answer: 25º

Explanation : Since a triangle always add up to 180 degrees, add the 155 and 40. Then subtract what you get from 180, and that’ll be the last angle.

User Petre
by
7.0k points
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