Answer:
angle A = 30 degrees
Step-by-step 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:
⇒ [tex]\frac{-14}{2} + \frac{2x}{2}[/tex]
⇒ -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
