Answer:

Step-by-step explanation:
By the exterior angle theorem,

Group like terms and solve for x.


Divide both sides by 19;

I believe only two but im not really sure on that
Answer:
90°, 60°, and 30°
60°.
Step-by-step explanation:
The triangle ABC has side lengths √6, √2, and 2√2 units.
It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.
Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is
, then

Hence,
= 60°
Therefore, the three angles of the triangle are 90°, 60°, and 30°.
Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.
And in that case the base angle will remain 60°. (Answer)
Answer:
x = 6
Step-by-step explanation:
The scale factor is
28/8 = 7/2
We take the ratio of the larger side over the smaller side
Using ratios we can find the sides
28 21
----- = ---------
8 x
Using cross products
28x = 21*8
28x =168
Divide each side by 28
28x/28 = 168/28
x =6
Answer:
y = 90
Step-by-step explanation:
Since, e || f and a || b
Therefore, quadrilateral so formed is a rectangle.
Each angle of a rectangle is right angle.
