Answer: ∠ECB = 60°
Step-by-step explanation:
First, find the value of <em>x </em>by adding them up.
x + 3x + 2x = 6x
Since we know that all of the angles create a 180° angle, we can set up a proportion.
6x = 180°
To find the value of x, divide both sides by 6.
6x ÷ 6 = x
180 ÷ 6 = 30
So now the proportion is x = 30.
Now that we now x = 30, we can plug in 30 to the angle measures.
∠DCA = 30°
∠DCE = 90°
∠ECB = 60°
So angle ECB is 60°.
hope this helps!
A,B,C,D,E
AB, AC, AD, AE
BC, BD, BE
CD, CE
DE
10
Answer:x=-8
Step-by-step explanation:
Answer:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of <em>x</em> is <u>6 degrees</u>
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of <em>x</em>
<em />
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;
The value of<u> </u><u><em>x</em></u><u> = 6</u>
Learn more here:
brainly.com/question/16350203
