Angle Addition

Presentation

•

Mathematics

•

10th Grade

•

Medium

•

CCSS

7.G.B.5, 4.MD.C.7, HSG.CO.C.9

Standards-aligned

Aaron Young

Used 20+ times

FREE Resource

7 Slides • 16 Questions

Adjacent Angles

Share vertex and a side

Angle Addition Postulate

Small angle + Small Angle = Big angle
If you are missing a SMALL angle - subtract
If you are missing the BIG angle - add

Multiple Select

If you are missing one of the SMALL angles, you should:

Add

Subtract

Multiple Select

If you are missing the BIG angle you should:

Add

Subtract

Multiple Choice

Find m∠FED

8°

127°°

63°

Multiple Choice

Find m∠RSM

85°

195°

55°

Multiple Choice

Find m∠VUZ

22°

322°

172°

Problems with Variables

On problems with variables, we want to add the pieces of the angle together and set it equal to the whole angle.

part + part = whole

Example:

Step 1: Name Your Pieces

Here we have, angles ∠RQS, ∠SQT, and ∠RQT.

Step 2: Label Your Pieces
Part: ∠RQS=4x-20
Part: ∠SQT=3x+14
Whole: ∠RQT=155

Step 3: Set Up
Using part + part = whole, we have ∠RQS+∠SQT=∠RQT

Example:

Step 4: Plug in and Solve

Part: ∠RQS=4x-20
Part: ∠SQT=3x+14
Whole: ∠RQT=155

∠RQS+∠SQT=∠RQT

4x-20+3x+14=155
7x-6=155
7x=161
x=23

Multiple Select

Which of the following in an equation to solve for x?

Pick all answer that apply.

2x + 94 = 72

2x+72 = 94

94 + 72 = 2x

72 + 2x = 94

Fill in the Blanks

Multiple Choice

Write an equation to solve for angle ADB.

* Hint: solve for x first.

3x + 8 = 138

3x + 8 + 138 = 6x + 4

3x + 8 + 6x + 4 = 138

6x + 4 = 138

Multiple Choice

The value of x?

x =

138

Multiple Choice

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

x = 13

m∠RST = 155°

m∠RSU = 102°

x = 3

m∠RST = 35°

m∠RSU = 12°

x = 22

m∠RST = 263°

m∠RSU = 183°

x = 8

m∠RST = 95°

m∠RSU = 57°

Multiple Choice

Solve

x = 5

x = 11

x = 33

x = 55

Multiple Choice

Solve

50°

58°

115°

226°

Bisecting an angle means dividing it into two congruent angles.

Fill in the Blanks

Multiple Choice

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 4x + 5 and m∠1 = 5x − 2.

x = 7

x = 3

x = -7

x = 1/3

Adjacent Angles

Share vertex and a side

Show answer

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