CAN SOMEONE PLS HELP ILL GIVE YOU BRAINLIST!! I DONT UNDERSTAND IT .

m∠P = 82°

m∠Q = 49°

m∠R = 49°

Step-by-step explanation:

In the isosceles triangle, the base angles are equal in measures

In Δ PQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ ∠Q and ∠R are the base angles

→ By using the fact above

∴ m∠Q = m∠R

∵ m∠Q = (3x + 25)°

∵ m∠R = (2x + 33)°

→ Equate them

∴ 3x + 25 = 2x + 33

→ Subtract 2x from both sides

∵ 3x - 2x + 25 = 2x - 2x + 33

∴ x + 25 = 33

→ Subtract 25 from both sides

∵ x + 25 - 25 = 33 - 25

∴ x = 8

→ Substitute the value of x in the measures of angles Q and R

∵ m∠Q = 3(8) + 25 = 24 + 25

∴ m∠Q = 49°

∵ m∠R = 2(8) + 33 = 16 + 33

∴ m∠R = 49°

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠P + m∠Q + m∠R = 180°

→ Substitute the measures of angles Q and R

∵ m∠P + 49 + 49 = 180

∴ m∠P + 98 = 180

→ Subtract 98 from both sides

∵ m∠P + 98 - 98 = 180 - 98

∴ m∠P = 82°

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square