If $l_1$, $l_2$, and $l_3$ are parallel lines, find the measure of the angles $\alpha$, $\beta$ and $\gamma$ - Junior Cycle Mathematics - Question Question 1 - 2013
Question Question 1
If $l_1$, $l_2$, and $l_3$ are parallel lines, find the measure of the angles $\alpha$, $\beta$ and $\gamma$.
40°
115°
Worked Solution & Example Answer:If $l_1$, $l_2$, and $l_3$ are parallel lines, find the measure of the angles $\alpha$, $\beta$ and $\gamma$ - Junior Cycle Mathematics - Question Question 1 - 2013
Step 1
$\alpha$
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Answer
To find angle α, we use the property that the sum of the angles on a straight line is 180 degrees:
α=180°−(115°+40°)=180°−155°=25°
Thus, α=25°.
Step 2
$\beta$
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Answer
To find angle β, we recognize that β is supplementary to the angle of 40°:
β=180°−40°=140°
Thus, β=140°.
Step 3
$\gamma$
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Answer
Angle γ corresponds with the 40° angle:
Thus, γ=40°.
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