Question

help

Answer 1

pls help

Answer 2

@toga

Answer 3

@alexis1415

Answer 4

@hero

Answer 5

One angle you can find is "b"

It lies on a straight line with the given angles 51 and 110. As a rule, it is known that a straight line produces an angle of 180, so to find b:

\(\large 51+b+110 = 180\)
\(\large b+161=180 \)

\(\large b= 19\)

Answer 6

Now with "a" we could use something known as the Vertical Angles Theorem. In this case, "a" would be equal to the angle 60; as vertically opposite angles are congruent.

So you get \(\large a=60\)

Answer 7

So now you have \( b=19\) and \( a=60\) which you can use to find c.

A triangle has interior angles that sum up to 180 degrees, so you could solve for c as so:

\(\large 60+19+c=180 \)

\(\large 79+c=180 \)

\(\large c= 101 \)

Answer 8

And now that you have c, you can find angle d.

Since \(\large c+d=180\) since they form a straight line:

\(\large 101 + d= 180 \)

\(\large d= 79 \)

Answer 9

Finally, you have angle d, and the angle of 51.

All this information can be used to find "e"

\(\large 51+79+e =180 \)

I'm sure you can solve it from here