Question

compute the value of 'x'.

Answer 1

1.180-50=130°,x=130°
2.x=56°
3.x=65°
4.x=52°
5.x=40°

Answer 2

1) The triangle is isosceles hence base angles are equal .

x + 50 = 180 ( linear pair )

x = 130 °

2) 106 + interior angle = 180 ( linear pair)

interior angle = 74 .

Now measure of exterior angle of sum of interior opposite angles .

74 + x = 130

x = 56°

3) Vertically opposite angles are equal .and using measure of exterior angle is equal to two opposite interior angles we get

x + 65 = 100

x = 35 °


4) 112 + interior angle = 180 ( linear pair)

interior angle = 68

Now measure of exterior angle of sum of interior opposite angles .

68 + x = 120

x = 52°


5) In a isosceles triangle, base angles are equal and exterior angle = sum of opposite interior angles .

x = 20 + 20 = 40°