Question

∠1 and angle, 2∠2 are vertical angles. If mangle, 1, equals, left bracket, 4, x, minus, 8, right bracket, degrees∠1=(4x−8)

∘
and mangle, 2, equals, left bracket, 3, x, plus, 18, right bracket, degrees∠2=(3x+18)
∘
, then find the value of x.

Answer 1

The value of x is 26

Using the theorem of vertical angles ; which says that vertically opposite angles are the same ;

Now we can express our angle values as ;

• (4x - 8) = (3x + 18)

We can solve for x thus;

(4x - 8) = (3x + 18)

4x - 3x = 18 + 8

x = 26

Hence, the value of x is 26.