construct a triangle xyz in which yz=4 cm and angle y=110 degree and angle x=30 degree Find angle z
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Answer:
angle z is equal to 40 degree
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Construction of triangle XYZ:
Given,
∠Y = 110°, ∠X = 30°
∠X + ∠Y + ∠Z = 180 [Angle sum property]
30 + 110 + ∠Z = 180
∠Z = 40
- Draw a line segment YZ = 4 cm.
- Draw a ray YP from Y such that ∠ZYP = 110.
- Similarly draw another ray ZQ from Z such that ∠YZQ = 40.
- Join ZQ and YP.
- Let the point of intersection of these rays be X.
- XYZ is the required triangle.
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