What is the value of x? Please explain the step process to getting to the conclusion.
2 answers:
Answer:
x = 71
Step-by-step 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
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.
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