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find the value of a and b
Answers
Answer:
a. In ΔXYX with external point P.
.: angle PXY + YXZ = 180° (linear pair)
.: 137° + angle a =180°
.: a = 180 - 137
.: a = 43° or angle YXZ = 43°
Now,
In ΔXYZ,
.: angle xyz + yzx + zxy = 180° ( angle sum. property)
xyz + 74°+ 43° = 180°
b + 117° = 180°
b = 180 - 117
b = 63°
.: a =43°
and, b = 63°
hence prove.
d. In Δ XYX ,with external line P and Q in which P is on YZ and Q is on XY.
Here,
angle XYZ = PYQ ( vertically opposite angle)
.: XYZ = 90° or a = 90°
Now,
XYZ + YZX + ZXY = 180 (angle sum property)
.: 90 + b + 32° = 180°
.: b + 122° = 180°
.: b = 52°
so,
a = 90°
b = 52°
hence prove.
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Step-by-step explanation:
SUM OF ALL THE SIDES OF TRIANGLE = 180
1.
- a = 180 - 74
- a = 106
- b = 106 - 74
- b = 32
2.
- a = 180 - 32
- a = 148
- b = 148 - 32
- b = 116
HERE IS YOUR ANSWER
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