angle 5 = angle 1 = Corresponding Angles Postulate
angle 6 + angle 5 = 180 = linear pair postulate
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
x= 55
Step-by-step explanation:
The two angles add to 180 degrees since they form a straight line
2x+70 =180
Subtract 70 from each side
2x+70-70=180-70
2x= 110
Divide by 2
2x/2 = 110/2
x= 55
