Question

Is there any mathematician to help me, please
Thank you.

Answer 1

Answer:

if you like mark it as brainliest

Step-by-step explanation:

x=35

Answer 2

PLZ MARK THIS ANSWER AS BRAINLIEST

Answer:

$x$ = 22

Step-by-step explanation:

∠KGF + ∠KGJ = 180°     (Angles on a straight line)

∴ 110° + ∠KGJ = 180°

∴ ∠KGJ = 180° - 110°

∴ ∠KGJ = 70°

Since it is given that $2x = r = y$, we replace $r$ with $2x$.

∴ $r$ = ∠KJG = $2x$

∴ ∠KGJ + ∠KJG = ∠LKM     (Exterior angle property)

∴ 70° + $2x$ = ∠LKM

∴ ∠LKM = 70° + $2x$

Similarly, we can also replace $y$ with $2x$.

∴ ∠LMK = $y = 2x$

In Triangle LKM

∠LKM + ∠LMK + ∠KLM = 180°      (Angle Sum Property)

⇒ 70° + $2x$ + $2x$ + $x$ = 180°

⇒ 70° + $5x$ = 180°

⇒ $5x$ = 180° - 70°

⇒ $5x$ = 110°

⇒ $x$ = 110° ÷ 5

⇒ $x$ = 22