8. If angle CBD = angle DBE find m angle A
![8 If angle CBD angle DBE find m angle A class=](https://us-static.z-dn.net/files/dec/89dede0fce46acfbb37e7e5420854ee3.png)
Answer:
m∠A = 65°
Step-by-step explanation:
Because ∠CBD is congruent to ∠DBE, we can set the degree values equal to each other.
So
CBD has x + 10, DBE has 60. So:
x + 10 = 60
Subtract 10 from both sides.
x = 50
Check:
50 + 10 = 60
60 = 60
m∠A = (x + 5)° = (60 + 5)° = 65°
The measure of m<A if angle CBD = angle DBE is 55°
The point where two lines meet is known as an angle.
We are given the following from the diagram:
m<CBD = x +10
m<DBE = 60degrees
Since angle CBD = angle DBE, then:
x + 10 = 60
x = 60 - 10
x = 50degrees
Get the angle A.
From the diagram, angle A = (x+5)°
m<A = 50 + 5
m<A = 55°
Hence the measure of m<A is 55°
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