Answer:
m∠RQT=62°
m∠SQR=118°
Explanation:
m∠SQT=m∠SQR+m∠RQT
180°=(10x-22°)+3x+20°
180°=13x-2°
180°+2°=13x
182°=13x
x=182÷13=14°
x=14°
So,
m∠RQT=3(14)+20°=62°
And,
m∠SQR=10(14)-22°=140°-22°
SQR = 118
RQT = 62
SQR + RQT = 180
10x - 22 + 3x + 20 = 180
13x - 2 = 180
13x = 182
x = 14
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