If 8x-25o is an exterior angle to - PQR- then find the value of x-

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Sum of Measures of Exterior Angles of a Polygon

If 8x+25o i...

Question

If $(8 x + 25)^{o}$ is an exterior angle to $Δ P Q R$ , then find the value of $x$ .

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Solution

The correct option is B $5$
$∠ Q = 2 x + 10, ∠ R = 5 x + 20$
As we know , sum of two non adjacent interior angle equals to measure of exterior angle.
So, $∠ Q + ∠ R = (8 x + 25)$
$2 x + 10 + 5 x + 2 = 8 x + 25$
$7 x + 30 = 8 x + 25$
$x = 5$

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If (8x+25)o is an exterior angle to ΔPQR, then find the value of x.

The correct option is B 5∠Q=2x+10,∠R=5x+20As we know , sum of two non adjacent interior angle equals to measure of exterior angle.So, ∠Q+∠R=(8x+25)2x+10+5x+2=8x+257x+30=8x+25x=5

If $(8 x + 25)^{o}$ is an exterior angle to $Δ P Q R$ , then find the value of $x$ .

The correct option is B $5$
$∠ Q = 2 x + 10, ∠ R = 5 x + 20$
As we know , sum of two non adjacent interior angle equals to measure of exterior angle.
So, $∠ Q + ∠ R = (8 x + 25)$
$2 x + 10 + 5 x + 2 = 8 x + 25$
$7 x + 30 = 8 x + 25$
$x = 5$