Question

Please help me ASAP!!

Answer 1

Answer:

x  = 16

Step-by-step explanation:

The sum of measures of these three angles of any triangle is equal to 180 °

54 + 90 + (2x + 4) = 180

144 + 2x + 4 = 180

148 + 2x = 180

2x = 180 - 148

2x = 32

$x= \frac{32}{2} \\\\x=16$

Answer 2

Focus on triangle KLM. Since JKLM is a rectangle, angle KLM is right. Since the sum of the interior angles of every triangle is 180, we deduce that

$\hat{K}+\hat{L}+\hat{M}=180$

Now plug the values for each angle and you have

$54+90+(2x+4)=180$

Move 54 and 90 to the right side to get

$2x+4=36 \iff 2x=32 \iff x=16$