83.The degree measures of three angles of a triangle are x, y and z. If then find the value of z.
∵ x, y and z are the degree measures of three angles of a triangle ∴ x + y + z = 180° | Angle sum property of a triangle
| Dividing throughout by 2
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84.
In figure, the sides AB and AC of ∆ABC are produced to points E and D respectively. If bisectors BO and CO of ∠CBE and ∠BCD respectively meet at point O, then prove that
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85.The angles of a triangle are 2x + 35, 3x - 5 and 5x - 50 degree. Find x.
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86.The sum of two angles of a triangle is 80° and the difference is 20°. Find all the angles of the triangle.
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87.In the given figure, if l || m, then find the value of x.
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88.In the figure, ∠X = 72°, ∠X ZY = 46°. If YO and ∠O are bisectors of ∠XYZ and ∠XZY respectively of ∆XYZ, find ∠OYZ and ∠YOZ.
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89.In figure, find the value of x.
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90.In figure, AB || DC, ∠BDC = 30° and ∠BAD = 80°, find ∠x, ∠y and ∠z.
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