In fig. l∥m . The value of (9x+10)o is

In fig. $l\parallel m$ . The value of ${\left(9x+10\right)}^{o}$ is

1. A
$10°$
2. B
$\text{1}00°$
3. C
$\text{12}0°$
4. D
$\text{11}0°$

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Solution:

Alternate exterior angles are equal.

$\begin{array}{c}9x+10=11x-10\\ 10+10=11x-9x\\ 2x=20\\ x=10\\ \therefore \text{value}\text{\hspace{0.17em}}\text{of}\text{\hspace{0.17em}}9x+10=9\left(10\right)+10\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}=90+10=100°\end{array}$