Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24
Elga’s age is 40 and Alvin’s age is 54
Step-by-step explanation:
5x=4x+12(corresponding angle)
5x-4x=12
x=12
if it is correct answer then please follow me
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
solve for BD
substitute the values
therefore
<u>the answer is</u>
the height of the triangle is 
Answer:
c = 6
Step-by-step explanation:
(I'm going to call the unidentified inner angle Henry, 'kay?)
First, we need to find Henry.
64 + Henry = 180
(64 - 64) + Henry = (180 - 64)
Henry = 116
Now to c.
Henry + 32 + 5c + 2 = 180
(116 + 32 + 2) + 5c = 180
(150 - 150) + 5c = (180 - 150)
5c/5 = 30/5
c = 6
