Angles Algebraic

Use an algebraic equation to find the measure of the two angles.

• x = 90-16 ; 16°and 74°

• x + x - 16 = 180; 98 °and 82°

• x + x - 16 = 90; 53° and 37°

• x = x -16; 8° and 16°

Use an algebraic equation to find the measures of both angles

• x = 3x - 20; 10° and 10°

• x + 3x - 20 = 90; 27.5° and 62.5°

• x + 3x - 20 = 180; 50° and 130°

• x + 3x - 20 = 180; 150° and 30°

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

• 2x-6=7x+4
• 2x-6+7x+4=90
• 2x-6+7x+4=180
• 2x-6+7x+4=360

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°

Find the value of X

• 20

• 30

• 21

• 19

x = ?

• 5

• 15

• 12

• 10

Answer explanation

Start by solving for x.

Since all three angles lie on a straight line, the three angles must add up to 180.

We can then write the following equation to solve for x.

6x−10+4x+6+7x+14=180

Combine Like Terms

17x+10=180

17x=180-10

17x=170

x=170/17

x=10

Find the value of x.

• x = 61

• x = 144

• x = 54

• x = 137