Question

I need help pls i don’t know how to solve this

Answer 1

Answer:

The sum of the inner angles of a triangle is 180°.

For 1) it's 180-78 = 102, decided by 2, solution is 51°

For 2) it's the same, just with a rotated image,

180-86 = 94, decided by two (for two corners), gives 48°

3) is tricky. We know that H & J got the same angle, because we see the markings on the lines.

so 8x = 6 x + 18

because they are equal

that gives 2 x = 18, or x = 9

H was 8x, so it's 72°

4) works like 3)

I look into 5 and 6 but press send for now to get the answers saved and out asap ;)

edit)

4) 2x = x + 30

subtract 1x on each side

x = 30

M is 30 + x, so it's 60°

(like all angles of this triangle btw)

5) is complicated, but I'll try to break it down.

Let's focus on the left triangle for a moment.

The upper corner got an angle of 90°-62° = 28°. That's because it's a right angle and 62° is the same angle we find further right.

The lower corner also has to have an angle of 28°, so 56° is the sum of both.

180°-56° is 124° for the right corner of the triangle we focus on.

x has to be -8 to satisfy the given equation.

6) give me another minute

edit:

for now, I can't solve 6) right away. But I'll keep thinking about the problem.

edit:

6) nasty one...

Okay, because the marked linked are of equal length, we can say that the lower triangle got also 69° in the lower corner and an angle of 42° in the left corner (180-69-69)

This leases 48° of the right angle for the upper triangle, same corner.

The marked lines here are also of same length, so the upper angle is also 48°

We can ignore the 3rd angle of the upper triangle, even though we could calculate it.

2 is 48, and it's x + 139

so

48 = x + 139

subtract 139 on both sides

-91 = x

The value of x is -91

You are welcome