Question

Can anyone help ? It’s a bit confusing for me.

Answer 1

x = 29

Explanation:

Given:

m<PQS = 107°

m<RQS = 49°

m<PQR = (2x)°

Required:

Value of x

Solution:

m<RQS + m<PQR = m<PQS (angle addition postulate)

Plug in the values

49 + 2x = 107

Subtract 49 from each side

2x = 107 - 49

2x = 58

Divide both sides by 2

x = 58/2

x = 29