Question

for what value of x is l||m​

Answer 1

Answer:

The angle adjacent to (5x + 35°) equals to 45° as they both are corresponding to each other.

45° + (5x + 35°) = 180° (Linear Pair)

45° + 5x + 35° = 180°

5x + 45° + 35° = 180°

5x + 80° = 180°

5x = 180° - 80°

5x = 100°

x = 100°/5

x = 20°

Hence, 5x + 35°

= 5 × 20° + 35°

= 100° + 35°

= 135°

Hope it helps

Answer 2

$\huge\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{...}}$

$\longrightarrow \sf5x + 35 + 45 = 180 \\ \\\longrightarrow \sf 5x + 80 = 180 \\ \\ \longrightarrow \sf5x = 180 - 80 \\ \\\longrightarrow \sf 5x = 100 \\ \\\longrightarrow \sf x = \frac{100}{5} \\ \\\longrightarrow \boxed{ \sf x = 20}$