Question

in this figure find the measurement of a

Answer 1

an. ACB =180°-120°
=60°[Linear pair ]
an. ABC =180°-112°
=68°[Linear pair ]


By angle sum property,
an. A =180°-(68°+60°)
=180°-128°
=52°.



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Answer 2

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__________
Angle ABC = 180 - 112 【linear pair】
=> 68°

angle ABC = 180 - 120 【 linear pair】
=> 60°

In ∆ ABC ,

Angle A = ?
Angle B = 68°
Angle C = 60°

A + B + C = 180° 【The sum of angles of a triangle is 180°】
A + 68 + 60 = 180
A + 128 = 180
A = 180 - 128
A = 52°

$\textbf{\red{Thus,\: the\: measure\: of\: Angle\: A\: is\: 52°.}}$

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