If angle 2-3x-10-o and angle 8-5x-30-o- the measures of angle 2 and angle 8-angle 2-20-o angle 8-20-oangle 2-40-oangle 8-40-o

Question

Toppr Admin · Accepted Answer

Given that AB-x2225-CD-x2220-2-x2220-8 - -Alternate external angles-3x-x2212-10-5x-x2212-30x-10o-xA0-x2220-2-3x-x2212-10-o-3-xD7-10-x2212-10-20o and-xA0-x2220-8-5x-x2212-30-o-5-xD7-10-x2212-30-20o

$40^{o}$	$30^{o}$	$20^{o}$	$10^{o}$	$0^{o}$	$10^{o}$	$20^{o}$	$30^{o}$
$30^{o}$				$b$
$20^{o}$							$j$
$10^{o}$	$e$				$f$
$0^{o}$		$a$		$g$		$d$
$10^{o}$							$i$
$20^{o}$			$c$
$30^{o}$							$h$

If $∠ 2 = (3 x - 10)^{o}$ and $∠ 8 = (5 x - 30)^{o}$ , find the measures of $∠ 2$ and $∠ 8$ .

$∠ 2 = 20^{o}$
$∠ 8 = 20^{o}$
$∠ 2 = 40^{o}$
$∠ 8 = 40^{o}$

Given that $A B ∥ C D$
$∠ 2 = ∠ 8$ ......... (Alternate external angles)
$3 x - 10 = 5 x - 30$
$x = 10^{o}$
$∠ 2 = (3 x - 10)^{o} = 3 \times 10 - 10 = 20^{o}$ and
$∠ 8 = (5 x - 30)^{o} = 5 \times 10 - 30 = 20^{o}$

If ∠2=(3x−10)o and ∠8=(5x−30)o, find the measures of ∠2 and ∠8.∠2=20o∠8=20o∠2=40o∠8=40o

Given that AB∥CD∠2=∠8 ......... (Alternate external angles)3x−10=5x−30x=10o ∠2=(3x−10)o=3×10−10=20o and ∠8=(5x−30)o=5×10−30=20o

If $∠ 2 = (3 x - 10)^{o}$ and $∠ 8 = (5 x - 30)^{o}$ , find the measures of $∠ 2$ and $∠ 8$ .

$∠ 2 = 20^{o}$
$∠ 8 = 20^{o}$
$∠ 2 = 40^{o}$
$∠ 8 = 40^{o}$

Given that $A B ∥ C D$
$∠ 2 = ∠ 8$ ......... (Alternate external angles)
$3 x - 10 = 5 x - 30$
$x = 10^{o}$
$∠ 2 = (3 x - 10)^{o} = 3 \times 10 - 10 = 20^{o}$ and
$∠ 8 = (5 x - 30)^{o} = 5 \times 10 - 30 = 20^{o}$