Find the value of x in the triangle shown below
2 answers:
Answer:
61
Step-by-step explanation:
We see that the triangle is isosceles as the two sides of it are 6.
In an isosceles triangle, you have two sides that are the same and two angles that are the same.
The two congruent angles will be opposite to the congruent sides.
So, we know that both angles must be x.
The Angles of a triangle add up to 180 degrees.
2x + 58 = 180
2x = 122
x = 61 ddegrees
Solution:
<u>We know that:</u>
Sum of interior angles of triangle: 180° We can see that the two lines of the triangle are equivalent.
<u>This means that:</u>
The triangle is an isosceles triangle. The bottom angles must be equivalent. Equation created: 58 + x + x = 180
<u>Simplify the LHS.</u>
58 + x + x = 180 => 58 + 2x = 180 <u>Subtract 58 both sides.</u>
=> 58 - 58 + 2x = 180 - 58 => 2x = 122 <u>Divide 2 both sides.</u>
2x = 122 => 2x/2 = 122/2 => x = 122/2 = 61
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:) Hoped this helped!!! Have a good day!!! <3