Angles A and B are two supplementary angles. If angle A = (2x+5) ° and angle B = x+5, find the measure of both the angles
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Step-by-step explanation:
Angle A = (2x+5)°
Angle B = (x+5)°
By condition
(2x+5)°+(x+5)° = 180° (Supplementary angles add up to
180°)
2x+5+x+5 = 180
2x+x+5+5 = 180
3x+10 = 180
3x = 180-10
3x = 170
x = 170/3
Angle A = (2×170/3+4)°
= (340/3+4)°
= (340+12/3)°
= 352/3°
Angle B = (170/3+5)°
= (170+15/3)°
= 185/3°
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