MAQ Unit 4: Parallel and Perpendicular Lines Assessment 8. Acub cut for wheelchairs must meet ADA (Americans with Disabilities Act requirements. Find the measure of 21 (exterior to the triangle) in the diagram below. 78° 1

The measure of  21 (exterior to the triangle) is 168 degrees.

The calculation is as follows:

= 180 - 90 -78

= 12

= 180 - 12

= 168

Therefore we can conclude that the measure of  21 (exterior to the triangle) is 168 degrees.

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168

Step-by-step explanation:

- first we need to find the third angle of the triangle, and since 180 is the sum of all angles, 180 - 90 - 78 = 12

- 12 is the interior angle at point 1, the exterior angle is 180 - 12 = 168

(here we use 180 because its a straight line)

answerthe vertex form

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.