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Byju's Answer
Standard IX
Mathematics
SAS Similarity
What will be ...
Question
What will be the measure of
∠
PQR,
if
∠
ZXY = 25° ?
A
25°
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B
15°
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C
35°
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D
10°
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Solution
The correct option is
B
15°
Given, in triangles,
△
PQR and
△
XYZ,
side RP = side ZX = 6cm
∠
QRP =
∠
YZX = 140°
side QR = side YZ = 9cm
∴
by SAS criterion for congruency of triangles,
△
PQR
≅
△
XYZ
So,
∠
RQP =
∠
ZXY = 25° (corresponding parts)
In triangle,
△
PQR,
∠
PQR = 180° - (
∠
RQP +
∠
QRP)
⇒
∠
PQR = 180° - (25° + 140°)
⇒
∠
PQR = 15°
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