Triangles and Transverse Angle Sums

If ∠EFG measures 111° what is the measure of ∠CFH?

• 101°

• 69°

• 111°

• 79°

Tags

CCSS.8.G.A.5

Solve for x.

(a)  

Answer explanation

Add up the two angles on the inside to get the angle on the outside.

So, you set up an equation with the outside angle on one side and the two inside angles added together on the other side!

Tags

CCSS.HSG.CO.C.9

Which angle pair represents corresponding angles?

• 1 & 2

• 1 & 5

• 1 & 4

• 1 & 7

Answer explanation

Corresponding angles are like when we did the patty paper thing. We traced the lines and labeled the angles and slid it downwards to see which top angles matched with the bottom angles.

Tags

CCSS.8.G.A.5

Solve for x.

(a)  

Tags

CCSS.8.G.A.5

If ∠DBF measures 103° what is the measure of ∠BFH?

• 103°

• 87°

• 83°

• 77°

Answer explanation

If both of my angles are on the same side AND are on the inside of my parallel lines then they have to add up to 180 degrees.

Tags

CCSS.8.G.A.5

Find m∠ABC.

(a)  

Answer explanation

Solve for x, then plug the value of x into the equation of the angle we are looking for!

Tags

CCSS.HSG.CO.C.10

If ∠ADC measures 93° what is the measure of ∠FEH?

• 83°

• 93°

• 87°

• 97°

Tags

CCSS.8.G.A.5

Find m∠ACB.

(a)  

Answer explanation

A triangles 3 angles add up to be 180.

So, you set up your equation by adding up all the angles on one side of the equals sign and then 180 on the other side.

Combine like terms and solve like a regular equation.

Tags

CCSS.8.G.A.5

Which angle pair represents alternate interior angles?

• 3 & 5

• 4 & 5

• 3 & 4

• 4 & 6

Answer explanation

Interior means INSIDE.

Alternate means opposite.

Both angles have to have the same value of degrees, so they have to be the same size but on the inside of the parallel lines.

Tags

CCSS.8.G.A.5

Solve for x.

(a)  

Answer explanation

Find all the angles for the big triangle and that will give the two angles of the baby triangle which then could be used to find the angle that missing angle.

Tags

CCSS.8.G.A.5