Question

PLEASE HELP I DONT UNDERSTAND

Answer 1

Answer: x = -5

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Step-by-step explanation:

The angles JRS and QRJ add to angle QRS.

Refer to the angle addition postulate for more info.

So,

(angle JRS) + (angle QRJ) = angle QRS

(x + 150) + (36 + x) = 176

x+150 + 36+x = 176

2x+186 = 176

2x = 176-186

2x = -10

x = -10/2

x = -5 is the final answer

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Extra info (optional section)

Use this value of x to find the following angle measures

• angle JRS = x + 150 = -5 + 150 = 145 degrees
• angle QRJ = 36 + x = 36 + (-5) = 36 - 5 = 31 degrees

Those angles add to 145+31 = 176 which matches with the measure of angle QRS; therefore, the answer has been confirmed.

Answer 2

x = - 5

Step-by-step explanation:

∠ JRS + ∠ QRJ = ∠ QRS ( substitute values )

x + 150 + 36 + x = 176

2x + 186 = 176 ( subtract 186 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

then ∠ JRS = x + 150 = - 5 + 150 = 145°

∠ QRJ = 36 + x = 36 - 5 = 31°

and 145° + 31° = 176°