Question

What is the missing angle? Please provide an explanation.

Answer 1

64°

Explanation:

all triangles equal 180°

so the first triangle with two angles already know is..

36+84+?=180

120+?=180

180-120=60°

but as you can see when they connect to each other they form 90°

so to find that angle on its own it's (with the triangle with one angle found) it's..

90-60=30°

and as we know all triangles equal 180°, so..

86+30+?=180

116+?=180

180-116=64°

Answer 2

64 degrees

Explanation:

Lets find the measure of the other angle in the other triangle with measures of 84 and 36.

Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:

84 + 36 = 120

180 - 120 = 60

So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90

90 - 60 = 30

So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.

86 + 30 = 116

180 - 116 = 64

So the missing angle has a measure of 64 degrees