AACB ~ AEFD Help Resources
А
Nm
х
12
3.8
y
65°
55
B
15
C D
5
F
O
z = [?]
Enter

Someone please help me

z = 60°

Step-by-step explanation:

To get the measure of angle E we will use the property of similar triangles.

" If the two triangles are similar their corresponding angles will be equal in measure. "

Since, ΔACB ~ ΔEFD,

Their corresponding angles will measure the same.

m∠A ≅ m∠E

m∠C ≅ m∠F

m∠B ≅ m∠D

In ΔABC,

m∠A + m∠B + m∠C = 180°

m∠A + 65 + 55 = 180

m∠A = 180 - 120

m∠A = 60°

Therefore, m∠A ≅ z ≅ 60°

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.