Question

The folding chair has different settings that change the angles formed by its parts. Suppose m∠2 is 31 and m∠3 is 65. Find m∠1. The diagram is not to scale.

Answer 1

Answer:

m∠2=31

m∠3=65

m∠1=?

Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.

31+65+x = 180

96+x = 180

x = 180-96

x = 84

Now, you can easily find the m∠1.

84+m∠1 = 180        (REASON: Linear pair)

m∠1 = 180-84

m∠1 = 96