Question

Find the measure of angle A

Answer 1

angle A = 30 degrees

Explanation:

*All triangles have an interior angle that adds up to 180 degrees

The triangle is the picture is a right triangle so one of the angles is 90 degrees.

First, we must figure out what "x" is:

⇒ 180 = 90 + x + 37 + x + 67

Combine like terms:

⇒ 180 = 2x + 194

Subtract 231 from both sides:

⇒ 180 - 194 = 2x + 149- 194

⇒ -14 = 2x

The divide both sides by 2:

⇒
`(-14)/(2) + (2x)/(2)`

⇒ -7 = x

Now, we can figure out what angle A is by taking the equation "x + 37" and subtituting x by -7:

⇒ x + 37

⇒ -7 + 37

⇒ 30

To check out answers, take all of the eqautions in the picture and subtitute x by -7, (remember that it must add up to 180):

⇒ 90 + x + 37 + x + 67 = 180

⇒ 90 + (-7) + 37 + (-7) + 67 = 180

⇒ 180 = 180

Answer 2

30

Explanation:

Right angle = 90 degrees

180-90 = 90, hence the right side of the equation.

x+37+x+67 = 90

2x + 104 = 90

2x = -14

x = -7

Plug in x.

-7+37 = 30 (angle a)

Angle a = 30