1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OlgaM077 [116]
2 years ago
11

What is the measure of A

Mathematics
1 answer:
Rainbow [258]2 years ago
3 0

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

\angle ACB\cong \angle DCE            (Vertically opposite angles)

m\angle ACB=m\angle DCE              (Congregant angles)

m\angle ACB=8x+4

Using exterior angle theorem in triangle ABC, we get

m\angle A+m\angle C=\text{Exterior }m\angle B

m\angle BAC+m\angle ACB=130^\circ

(3x-6)+(8x+4)=130^\circ

11x-2=130^\circ

Isolate the variable term x.

11x=130^\circ+2

11x=132^\circ

x=\dfrac{132^\circ}{11}

x=12^\circ

Now, the measure of angle A is:

m\angle A=3x-6

m\angle A=3(12^\circ)-6

m\angle A=36^\circ-6

m\angle A=30^\circ

Therefore, the correct option is B.

You might be interested in
The equation below can be used to solve which of the following word problems? 2x + 4y = 18
densk [106]
One of the 4 options prolly D
7 0
3 years ago
Cameron is trying to ear eleven dollars for some new toys. If he charges three dollars to mow a lawn how many lawns will he need
7nadin3 [17]

Answer:

Cameron need to mow 4 lawns.

Step-by-step explanation:

Cameron needs 11$ for some new toys.

But he charges 3$ to mow a lawn.

So, he needs to mow 11/3= 3.66... lawns

The number of lawns can not be decimal. So, let's round to next whole number as 4.

3 0
2 years ago
A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $5 per foot and fencing for th
Vesnalui [34]

The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺

4 0
2 years ago
HELP ME ! What is the value of X
Harlamova29_29 [7]

Answer:

I think it would be 7 dnejeias

4 0
2 years ago
Which choice represents the best rational approximation for <br> square root of 35?
aalyn [17]
The square root of 35 is 5.9
hope this helps
5 0
2 years ago
Other questions:
  • Which is the smallest number? <br> a. 6.1 <br> b. 5.4 <br> c. 5 1/10 <br> d. 6 7/10
    10·1 answer
  • If 5 ounces is equal to 140 grams, then 2 pounds of pizza dough is equal to how many grams?
    15·1 answer
  • The expression 3^2*3^3*3^4 is equivalent to?<br> Show all your work please
    11·2 answers
  • 4 divided by 5 minus radical 15
    13·1 answer
  • Is 43 odd or even?but the answer don't have to be great i just need a answer
    6·1 answer
  • Can a negative sign be used to describe a dilation?
    13·1 answer
  • Which equation has a solution of x = 9?
    5·1 answer
  • Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary
    6·1 answer
  • What is the value of the expression below?<br> (3 x 4) - 6] + 4 x 2
    13·1 answer
  • Rewrite! Write an new and equivalent equation that is easier to solve
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!