Answer:
The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.
x = 180-60-45
180-60-45=75
so x = 75
To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.
So knowing that angle x = 75 we can find angle y by subtracting 75 from 180
180-75=105 so y = 105
Another way we could solve for y is the exterior triangle rule
This rule states that an exterior angle of a triangle is equal to the two opposite interior angles
so y = 45 + 65
45 + 65=105
so y = 105
Step-by-step explanation:
To solve for x and y, you need to know if the triangles are congruent. They are because of their congruent sides and exterior angles are the same measure.
Now you know that the triangles are congruent, you can set up a proportion for the side lengths you are looking for.
For x...
22/10=x/12. Then cross mutiply. x =26.4
You can do this because the triangles are congruent.
For y...
22/10 =37.4/y. Then you cross multiply. y=17
The correct answer is B.
Closed dot on 53, arrow going to the right
Answer:
model B is shaded to represent 37.5%
here,
=3÷8×100%
=37.5%
Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
