Question

What is the value of x? Please explain the step process to getting to the conclusion.

Answer 1

First, split the triangle into half.

So the angle 38 becomes 38/2=19.

So we know two angles in the triangle:

One is 19 degrees.

The other one is 90 degrees (marked red).

The angles in a right-angled triangle add up to 180 degrees.

So to find the x angle, we calculate it by:

180 - (90+19) = 71

(the sum of three angles) - (the sum of the two known angles) = unknown angle

So x = 71 degrees.

Answer 2

x = 71

Explanation:

Since this is an isosceles triangle, both sides are 21 units long, both angles are going to measure x at the bottom of the triangle.

The three angles of the triangle sum to 180 degrees

x+x+38 = 180

2x +38 =180

Subtract 38 from each side

2x+38-38 =180-38

2x = 142

Divide each side by 2

2x/2 =142/2

x = 71