Question

in the given figure if <1= 53° find the angle 2 and 3​​

Answer 1

Given -

${\sf{\angle 1~=~53°}}$

To find -

${\sf{\angle 2,~\angle 3~and~\angle 4}}$

Solution -

${\sf{\angle 1 ~=~ \angle 3}}$ (V.O.A)

${\sf{.°.~\angle 3~=~53°}}$

${\sf{\angle 3 ~and~\angle 4~forms~a~linear~pair}}$

${\sf{So,\angle 4~+~53~=~180}}$

${\sf{\angle 4~=~180~-~53}}$

${\sf{\angle4~=~127°}}$

${\sf{ \angle 4~=~\angle 2}}$ (V.O.A)

$\large{\sf{.°. \angle 2~=~127°}}$

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