The value of x is 67°
What are corresponding angles?
Two angles are said to be corresponding if they occupy the same position at the point of intersection of a parallel line and a transversal that crosses it.
Analysis:
∠H = ∠I = 67° ( corresponding angles)
∠H + ∠I + ∠A = 180
67 + x + 46 = 180°
113 + x = 180
x = 180 - 113 = 67°
In conclusion, x = 67°
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The answer is angle A is equal to 61 and angle B is equal to 29.
A right angle means the measure of the angle formed is 90 degrees.
Given angle A and angle B form a right angle.
Also given an expression for angles A and B in terms of a variable y.
∠A=5y+1
∠B=3y-7
Therefore, the sum of the angles A and B is 90 degrees.
⇒∠A+∠B=90
⇒ (5y+1) + (3y-7)=90
⇒8y-6=90
⇒8y=96
⇒y=96/8
⇒y=12
Substituting the value of y for the angle A, we get,
∠A=5*(12) +1
=60+1
=61
Substituting the value of y for the angle B, we get,
∠B=3*(12)-7
=36-7
=29
So, the value for angle A is 61. And the value for angle B is 29.
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