3 years ago

Solve the missing variable

Mathematics

1 answer:

melomori [17]3 years ago

8 0

Answer:

110°

Step-by-step explanation:

Angles on a quadrilateral always add up to 360°.

So, 100+95+55 = 250.

360-250 = 110°

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Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ

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Answer:

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Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

$m$

we have

$m$

substitute

$m$

step 2

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we know that

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substitute the values

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step 3

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we know that

The inscribed angle measures half that of the arc comprising

$m$

substitute the values

$70\°=\frac{1}{2}(65\°+arc\ PJ)$

$140\°=(65\°+arc\ PJ)$

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