Question

In the figure drawn below, two lines are intersecting each other. What is the measure, in degrees, of all the angles adjacent to or opposite of angle A?

Enter your answers in the following sequence: B, C, D

Answer 1

`\angle B =155^(\circ) , \angle D =25^(\circ) and \angle D=155^(\circ)`

Explanation:

`\angle A = 25^(\circ)`

Vertically opposite angles : the angles opposite each other when two lines interest

So, ∠A is vertically opposite to ∠C

`\angle A = \angle C` (Vertically opposite angles are equal)

So,
`\angle C = 25^(\circ)`

`\angle A+\angle B = 180^(\circ)(\text{Linear pair})\\25^(\circ)+\angle B = 180^(\circ)\\\angle B = 180^(\circ)-25^(\circ)\\\angle B =155^(\circ)`

∠B is vertically opposite to ∠D

So,
`\angle B = \angle D` (Vertically opposite angles are equal)

So,
`\angle D = 155^(\circ)`

Hence
`\angle B =155^(\circ) , \angle D =25^(\circ) and \angle D=155^(\circ)`