Answer:
THE VALUE OF X = 3 .
Step-by-step explanation:
From the Δ RQP and Δ TSP ;
⇒ ∠ TPS = ∠ RPQ ( since both are common angle )
⇒ RQ ≈ TS ( parallel lines )
⇒ ∠ PRQ = ∠ PST ( Corresponding angle )
∴ Δ RQP ≅ Δ TSP ( BY ASA RULE )
Now ,


⇒ X = 3
Answer:
6.5
Step-by-step explanation:
The sum of all angles in a triangle are 180 degrees.
=> 10x -10 + 8x + 10x + 8 = 180
=> 28x -2 = 180
=> 28x = 182
=> x = 6.5
So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees
Angle B = 8 x 6.5 = 52 degrees
Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.
55 + 52 + 73 = 55 + 125 = 180 degrees
The picture is off point so I can’t read the entire paper!! Sorry and GOOD LUCK