Answer:
angle a: 70°
angle d: 70°
angle dce: 35°
x: 15m
y: 14m
Explanation:
all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70
where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar
knowing that they are similar triangles will help with figuring out the lengths of the sides.
since they are similar, their sides will be proportional, we just need to figure out the ratio
if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x
now we can solve for x
multiply both sides by x
12x/18 = 10
now multiply both sides by 18
12x = 180
divide both sides by 12
x = 15
now we do the same for y
12/18 = y/21
12*21/18 = y
y = 14
hope this helps!