Each set of numbers below represents the measures of three angles. which set represent angle measures that could be found in a triangle? a(30o, 40o, 30o) b(42o, 18o, 130o) c(10o, 15o, 100o) d(40o, 5o, 40o) e (60o, 45o, 75o) f (20o, 40o, 50o)

Option E -

Step-by-step explanation:

Given : Each set of numbers below represents the measures of three angles.

To find : Which set represent angle measures that could be found in a triangle?

Solution :

We know that,

Sum of all three angles of triangle is 180°.

So whose sum is 180° that pair form a triangle.

A)

Sum of angles,

No, this set is not a triangle.

B)

Sum of angles,

No, this set is not a triangle.

C)

Sum of angles,

No, this set is not a triangle.

D)

Sum of angles,

No, this set is not a triangle.

E)

Sum of angles,

Yes, this set is a triangle.

F)

Sum of angles,

No, this set is not a triangle.

Therefore, option E -   set represent angle measures that could be found in a triangle.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

180 square centimeters

step-by-step explanation: