Question

Mathematics please help

Answer 1

C

Explanation:

Since the triangles are congruent then corresponding angles are congruent.

Thus

∠ M = ∠ P, that is

5x - 19 = 3x + 20.4 ( subtract 3x from both sides )

2x - 19 = 20.4 ( add 19 to both sides )

2x = 39.4 ( divide both sides by 2 )

x = 19.7

Thus

∠ P = 3x + 20.4 = 3(19.7) + 20.4 = 59.1 + 20.4 = 79.5° → C

Answer 2

The required ∠P = 79.5° Option C

Explanation:

Given,

ΔMNO ≅ Δ PQR

∠Q = 3X+6°, ∠P = 3x+20.4°, ∠O = 2X-4° and ∠M = 5x-19°

To find out the value of ∠P

Since, ΔMNO ≅ Δ PQR

∠N = ∠Q and ∠O = ∠R and ∠M = ∠P

So,

3x+20.4° = 5x-19°

or, 5x -3x = 20.4°+19°

or, 2x = 39.4°

or, x = 19.7°

Hence,

∠P = 3×19.7°+20.4° = 79.5°