Question

Find the value of x in each case. Give reasons to justify your solutions!

Answer 1

Answer:

x = 52

Step-by-step explanation:

Since we know that all angles of a triangle add up to 190 degrees,

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (Angles on a straight line add up to 180)

= 124 degrees.

Therefore, x + 72 = 124

x = 52

Answer 2

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite side

: 90° + 34° = x + 72°

x = 90° + 34° - 72°

x = 52°