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Masteriza [31]
4 years ago
11

Ngland,

Mathematics
1 answer:
svet-max [94.6K]4 years ago
3 0

<u>Question</u>

In the diagram, angle OLM is twice as large as angle PON. What is the size of angle OLM?

Answer:

\angle OLM =112^\circ

Step-by-step explanation:

Let Angle PON =x

Therefore: Angle OLM =2x

\angle JKO +\angle OKL =180^\circ\\124^\circ + \angle OKL =180^\circ\\\angle OKL =180^\circ-124^\circ\\\angle OKL =56^\circ

\angle PON =\angle KOL =x $ (Vertical Angles)

\angle OKL +\angle KOL=\angle OLM $(Opposite Interior Angles of Triangle KOL)

56+x=2x\\2x-x=56\\x=56^\circ

Therefore:

\angle OLM =2x=2*56=112^\circ

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