Question

Can you explain to me (detailed) on how to do this problem? I will give you a brainly if you get this right.

Answer 1

Question 5

Find x. if x and 9x are supplementry angles .

Answer :

Note : in supplementry angles either one of two angles whichboth add up to 180 degrees

Given -

• They are supplementry angle .

Equation formed -

$x + 9x = 180 {}^{ \circ}$

Solving Equation:

$\implies \: \: x + 9x = 180 {}^{ \circ} \\ \\ \implies \: \: 10x = 180 {}^{ \circ} \\ \\ \implies \: \: x = \frac{180}{10} \\ \\ \boxed{ x \: = 18 {}^{ \circ}}$

$9x = 9 \times 18 \\ \\ \boxed{ \: 9x = 162 {}^{ \circ} }$

Question 6

Find x . If x and 2x is complementary angles .

Answer :

Note : In case of conolementry angles , sum of two angles results in 90 °

Given -

They are complementary angle .

Equation formed -

$x + 2x = 90 {}^{ \circ} \\ \\ 3x \: = \: 90 {}^{ \circ} \\ \\ x = \frac{90}{3} \\ \\ \ \boxed{ x \: = \: 30 {}^{ \circ}} \\ \\ 2x = 2 \times 30 \\ \\ \boxed{2x = 60 {}^{ \circ} }$