What is the value of x in the triangle?
A triangle has 2 congruent sides. The angle between the congruent sides measures 38 degrees. The other angles have measures of x degrees and 71 degrees.
A. 38°
B. 71°
C. 76°
D. 142°
I will probably never come back to this because I have no patience.
Very simple problem.
Clearly you have an isosceles triangle, so
if the angle between the two equal sides is 38°, that leaves 142°
for the 2 other equal angles,
meaning they are 71 each
To find the value of x in the triangle, we can start by using the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the measure of the angle x as x°.
Given that angle x° is opposite the congruent sides, and the angle between the congruent sides is 38 degrees, we can set up the following equation:
x + 38° + 71° = 180°
Now, let's solve for x:
x + 38° + 71° = 180°
Combine like terms:
x + 109° = 180°
Subtract 109° from both sides:
x = 180° - 109°
x = 71°
Therefore, the value of x in the triangle is 71°. Therefore, the correct answer is option B.