Definition of inequality
2 answers:
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Answer:
∠H = 120
Step-by-step explanation:
See the attached figure
HALT is a parallelogram
So, angles H and T are supplementary.
∠H = 2x + 60 and ∠T = x + 30
∠H + ∠T = 180
∴ 2x + 60 + x + 30 = 180
∴ 3x + 90 = 180
∴ 3x = 180 - 90 = 90
∴ x = 90/3 = 30
So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120
Observe the given figure.
Given:
To prove:
Statement
1.
Reason: Given
2.
Reason: Substitution
3. are alternate interior angles.
Reason: Definition of alternate interior angles
4.
Reason: If alternate interior angles are equal, then the lines are parallel.