Question

1) What angle relationship/relationships do you see in the below diagram that would help you solve for the missing angle measurements? 2) Write an equation and solve for the measurements of Angle RQS & Angle UQT

Answer 1

The relationship is that the sum of all the angles is 360 degrees.

Because they are angles around a point.

Therefore,

3x + 90 + 4x + 221 = 360

3x+4x+90+221=360

7x+311=360

7x=360-311=49

Hence

x = 49 / 7 =7

Angle RQS = 3x = 3(7) =21 degrees

Angle RQS = 21 degrees

Angle UQT = 4x = 4(7) = 28 degrees

Angle UQT = 28 degrees