Answer:
X = 6
Step-by-step explanation:
DU = DU .....(1)
DV =DW ......(2)
angle VDU = angle WDU .......(3)
so triangle VDU and triangle WDU are Congruent Triangles
thus VU = WU
we solve : 9x + 1 = 7x + 13 , x = 6
-- The two sides of a right <u>angle</u> intersect and make the angle.
So do the sides of any other angle. So they can't be parallel.
-- No two sides of a right <u>triangle</u> ... or any other triangle ...can be parallel.
Sum of angles in a triangle is 180°
90 + (x + 15) + (2x) = 180
90 + x + 15 + 2x = 180
105 + 3x = 180
3x = 180 - 105
3x = 75
x = 75 ÷ 3
x = 25
Smaller angle = x + 15 = 25 + 15 = 40°
Larger angle = 2x = 2(25) = 50°
Answer: 50°