Question

Find all the missing angles. All answers are assumed to be in degrees.

Answer 1

1. 63
2. 49°
3. 87°
4. 44°

Explanation:

First, I worked out Angle 3 as this angle and 93° are on a straight line:

So I made an equation:

180 = 93 + Angle 3

180-93 = Angle 3

87 = Angle 3

Now we have enough information for Angle 4 as angles in a triangle add up to 180

87 + 49 + Angle 4 = 180

Angle 4 = 180 - 87 - 49

Angle 4 = 44
Using the rule of opposite angles:
I worked out that Angle 2 must be 49 as well.
This is now enough information to work out Angle 1 as angles in a triangle add up to 180
49 + 68 + Angle 1 = 180

Angle 1 = 180-49-68

Angle 1 = 63