Answer:
m∠1 = 85°, m∠2 = 85°, m∠3 = 64°, m∠4 = 31°
Step-by-step explanation:
1. Since ∠3 and the angle labeled 64° are vertical, they are congruent, therefore m∠3 = 64°
2. By the same logic, since ∠4 and the angle labeled 31° are vertical, they are also congruent, meaning m∠4 = 31°
3. ∠4, ∠1, and 64° make up 180°, thus a straight line around them, so m∠1 + 31° + 64° = 180° --> m∠1 = 85°
4. ∠1 and ∠2 are vertical, so they are congruent, meaning m∠2 = 85°
Answer:
the answer is True
Step-by-step explanation:
The answer is 1/4 x - 3 = 12
x = 37.5 (or) 
Solution:
Given 
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.


Do cross multiplication, we get


Subtract 30x from both sides of the equation.

Divide by 20 on both sides of the equation, we get
x = 37.5 (or) 
Hence the value of x is 37.5 or
.
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