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Question

Write the measure of every marked with '?' in the figures below:

(1)

(2)

(3)

(4)

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Solution

(1) ∵ SWP = 90°
JWP + JWS = 90°
= 37° + JWS = 90°
= JWS = 90° – 37°
= JWS = 53°

(2) JGF and JGH form a linear pair.
The sum of the measures of such angles is 180°.
JGF + JGH = 180°
= 110° + JGH = 180°
= JGH = 180° – 110°
= JGH= 70°

(3) WYZ and WYX form a linear pair.
The sum of the measures of such angles is 180°.
WYZ + WYX = 180°
= 132° + WYX = 180°
= WYX = 180° – 132°
= WYX = 48°

(4) ∵ QOR = 90°
QOP + POR = 90°
= 45° + POR = 90°
= POR = 90° – 45°
= POR = 45°

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