Angle Number
Measure
1
2
13
1
1267
2
3

∠1=54°

∠2=54°

∠3 = 126°

Step-by-step explanation:

We need to find ∠1, 2 and 3

Since a traversal cut parallel lines we would use supplementary angles , congruent angles rules to solve the problem.

Angle 1 and 126 are supplementary angles.

They add up to make 180

So, ∠1 + 126 = 180

∠1 = 180-126

∠1 =54

We get ∠1=54°

Now, ∠1 ≅ ∠2, because they are corresponding angles and if traversal cut parallel lines, corresponding angles are congruent.

So ∠1 ≅ ∠2 therefore, ∠2=54°

Now, for finding measure for ∠3, we know that 126 and ∠4 are corresponding angles and corresponding angles are congruent.

So, ∠4 = 126°

We know that ∠3 and ∠4 are vertical angles.

And if traversal cut parallel lines, vertical angles angles are congruent.

So, ∠3 = 126°

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.

there are infinitely many solutions.