1. C
2. A
3. B
3. D
Hope this helps
Answer:
1
Step-by-step explanation:
Answer:
x = 65
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
^ ( Note that we just created an equation that we can use
to solve for x )
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side
15 - 15 cancels out
145 - 15 = 130
we now have 130 = 2x
step 2 divide each side by 2
130 / 2 = 65
2x / 2 = x
we're left with x = 65
The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
