Find m/AEB A. 10 B. 70 C. 110 D. 170

Mathematics

2 answers:

Ilia_Sergeevich [38]4 years ago

7 0

Answer:
∠AEB = 70°

Explanation:
1- solving for x:
When two lines intersect, the vertically opposite angles formed would be equal.
In the given, we have two intersecting lines, therefore:
∠AEB = ∠CED (vertically opposite angles)
2x + 50 = 7x
7x - 2x = 50
5x = 50
x = 50/5
x = 10

2- getting the measure of the angle:
We know that:
∠AEB = 2x + 50
x = 10
Therefore:
∠ AEB = 2(10) + 50
∠AEB = 20 + 50 = 70°

Hope this helps :)

Paul [167]4 years ago

5 0

A is most likely the answer.

Hope this Helped!

;D

You might be interested in

How many 1 fourth hours are in 1 hour

Flauer [41]

Answer:

Step-by-step explanation:

60 minutes can be broken down into 4 quarters of time - 15 minutes

7 0

3 years ago

Read 2 more answers

Which statement about sqrt x-5 minus sqrt x=5 true?

Allushta [10]

Answer:

9 is an extraneous solution.

Step-by-step explanation:

Extraneous solution is a solution that when plugged into the equation do not hold true.

Here we are given an algebraic equation in terms of single variable x as:

$\sqrt{x-5}-\sqrt{x}=5-----(1)$

Now, we will solve this equation to obtain the solution as:

on squaring both side of the equation we obtain:

$(\sqrt{x-5}-\sqrt{x})^2=5^2$

$x-5+x-2\sqrt{x-5}\sqrt{x}=25\\\\2x-5-2\sqrt{x-5}\sqrt{x}=25\\\\2x-30=2\sqrt{x-5}\sqrt{x}\\\\on\ dividing\ both\ side\ by\ 2\ we\ obtain:\\\\x-15=\sqrt{x-5}\sqrt{x}$