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Home » Past Questions » Mathematics » In the diagram, PQR is a straight line, (m + n) = 120^o and (n + r) = 100^o. Find ...

In the diagram, PQR is a straight line, (m + n) = 120^o and (n + r) = 100^o. Find ...

Question

In the diagram, PQR is a straight line, (m + n) = 120^o and (n + r) = 100^o. Find (m + r).

Options

A)

110^o

B)

120^o

C)

140^o

D)

160^o

The correct answer is C.

Explanation:

if m + n = 120^o and n + r = 100^o

then m + n = 120^o

then r = 180^o - 120^o = 60^o

also n + r = 100^o

m = 180^o = 80^o

m + r is = 80^o + 60^o

= 140^o

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Nigerian Scholars Follow5 years ago
if m + n = 120^o and n + r = 100^o
then m + n = 120^o
then r = 180^o - 120^o = 60^o
also n + r = 100^o
m = 180^o = 80^o
m + r is = 80^o + 60^o
= 140^o
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