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Homework- One to One Solutions
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Maths-

General

Easy

Question

Find the missing values.

The correct answer is: So, we have ∠A=70°,∠B=110°, ∠C=70° and ∠D=70°

SOLUTION:
HINT: Use the property of parallel lines angle rules.
Complete step by step solution:
Here we have 2 parallel lines m and l and a transversal intersects these parallel
lines.
Now we have $straight angle A equals 70 to the power of ring operator$ (vertically opposite angles)
Here, $straight angle A text and end text straight angle B$ forms co-interior angles and they add up to $180 to the power of ring operator$
$not stretchy rightwards double arrow straight angle A plus straight angle B equals 180 to the power of ring operator$
$not stretchy rightwards double arrow 70 to the power of ring operator plus straight angle B equals 180 to the power of ring operator$
$not stretchy rightwards double arrow straight angle B equals 180 to the power of ring operator minus 70 to the power of ring operator$
$not stretchy rightwards double arrow straight angle B equals 110 to the power of ring operator$
$straight angle D equals 180 to the power of ring operator minus straight angle B text (linear pair) end text$
$not stretchy rightwards double arrow straight angle D equals 180 to the power of ring operator minus 110 to the power of ring operator$
$not stretchy rightwards double arrow straight angle D equals 70 to the power of ring operator$
Here $straight angle D equals straight angle C$ (vertically opposite angles)
$not stretchy rightwards double arrow straight angle C equals 70 to the power of ring operator$
So, we have $straight angle A equals 70 to the power of ring operator comma straight angle B equals 110 to the power of ring operator comma straight angle C equals 70 to the power of ring operator text and end text straight angle D equals 70 to the power of ring operator$

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