5. Find the measure of angle ‘x' in the given figure.
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Answer:
angle x = 135°
Step-by-step explanation:
XY is a line so,
<XAB + <BAY = 180°
50° + <BAY =180°
<BAY= 180°–50°
<BAY= 130°
similarly
<DEY + <DEX =180°
60°+ <DEX =180°
<DEX= 180°–60°
<DEX=120°
sum of interior angles of Pentagon is =540°
<ABC + <BCD+ <CDA + <DEA + <EAB = 540°
x + 20° + x + 120° + 130° =540°
2x + 270°=540°
2x=540°–270°
2x=270
x=270/2
x=135°
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