Question

Needeeeeedd helppppp ASAP

Answer 1

First: 120

Second: 60

Third: 60 and 60

Fourth: 60

Explanation:

This traingle is an equilateral triangle, which means each angle inside of it is 60 degrees, always.

All angles in a triangle add up to 180 degrees, and three 60s go in it. So, if it’s asking for an angle plus what is 180 degrees, the angle will always be 60 degrees and it will need 120 degrees to get to 180.

Answer 2

m∠a + ∠120 = 180

m∠a = 60

m∠a + m∠b + m∠60 = 180

m∠b = 60

Explanation:

Part a

Since the measurements of a straight line is 180 degrees. Therefore m∠a and m∠120 should be added together to get a straight line which is 180 degrees

Part B

Since the sum of m∠a and ∠120 = 180 then arranging the equation we get

m∠a + ∠120 = 180

m∠a = 180 - 120

m∠a = 60

Part C

We know that the sum of all the interior angles of a triangle is always equal to 180 therefore ∠a, ∠b and ∠60 should be added because they are the interior angles

Part D

If the sum of all the interior angles of a triangle is always equal to 180 then arranging the equation

∠a + ∠b + ∠60 = 180

We already know ∠a so put the values

∠60 + ∠b + ∠60 = 180

∠b = 180 - 60 -60

∠b = 60