SSC CHSL 19 Mar 2020 Shift 2 Paper

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Question : 70 of 100

Marks: +1, -0

If L is the circumcentre of

\Δ\XYZ

and

\∠\X

is

40°

, then the value of

\∠\YZL

is

$70°$
$60°$
$40°$
$50°$

Solution:

Given,

Since, angle subtended by the arc YZ at L is twice the angle subtended by the arc YZ at

x

.
∴

\∠\YLZ=2 \×\∠\YXZ=2 \×40=80°

Since,

\∠\Y=\∠\Z=

radii
∴

\∠\Y=\∠\Z=x

(let)
∴

\ln \Δ\LYZ, 80°+x+x=180°

2 x=180°-80°=100°

x={100°}/{2}=50°

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