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Standard VII

Mathematics

Exterior Angle Property

In Δ ABC,...

Question

In $Δ$ $A B C$ , an exterior angle at $D$ is represented by $X$ . If the two non-adjacent interior angles are represented by $60$ and $58$ , find the value of $∠$ $X$ .

100^{o}

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110^{o}

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120^{o}

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130^{o}

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Solution

The correct option is D $120^{o}$
$x + 60 = 180$ (sum of adjacent angles forming a straight line)
$x = 180 - 60$
$x = 120 \Rightarrow$ $∠$ $X$ .

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In Δ ABC, an exterior angle at D is represented by X. If the two non-adjacent interior angles are represented by 60 and 58, find the value of ∠ X.

The correct option is D 120ox+60=180 (sum of adjacent angles forming a straight line)x=180−60x=120⇒ ∠ X.

In $Δ$ $A B C$ , an exterior angle at $D$ is represented by $X$ . If the two non-adjacent interior angles are represented by $60$ and $58$ , find the value of $∠$ $X$ .

The correct option is D $120^{o}$
$x + 60 = 180$ (sum of adjacent angles forming a straight line)
$x = 180 - 60$
$x = 120 \Rightarrow$ $∠$ $X$ .