Question

Thats my question I don't know how to do it

Answer 1

The diagram shows two lines that intersect each other. At the point of intersection, two pairs of vertically opposite angles are formed.

**VERTICALLY OPPOSITE ANGLES ARE EQUAL**

That means angles 1 and 3 are equal, and then angles 2 and 4 are equal.

Angle 1 is given as 72, that means angle 3 equals 72.

Observe that angles 1 and 2 lie on a straight line.

**ANGLES ON A STRAIGHT LINE SUM UP TO 180 DEGREES**

That means the addition of angle 1 and angle 2 equals 180

Therefore;

`\begin{gathered} \angle1+\angle2=180 \\ 72+\angle2=180 \\ \text{Subtract 72 from both sides} \\ 72-72+\angle2=180-72 \\ \angle2=108 \end{gathered}`

Angle 2 is 108 degrees.

Remember that angles 2 and 4 are vertically opposite angles, hence angle 4 equals 108.

The answers are;

Angle 2 = 108

Angle 3 = 72

Angle 4 = 108