Question

If triangle GHJ is isosceles find the value of x

Answer 1

x = 5

Explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40 -40
28x = 180

28x/28 = 180/28

We get:
x = 5

Answer 2

`x = 5`

Explanation:

Note that:

Base Angles Of An Isosceles Triangle Are Equal.

Calculating For the Value Of X

Since Base Angles are Equal

(14x + 1)° + (14x +1)° +38° = 180°

Removing Brackets

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

collecting like term

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5