Question

Aflati masurile unghiurilor unui paralelogram ABCD stiind ca m(<A)=3×°-15°si m(<D)=2×°+35°

Answer 1

in paralelgramul ABCD

∡A = ∡C

∡B = ∡D

A+ B + C + D = 360 °

(3x - 15) × 2 + (2x + 35) × 2= 360

6x - 30 + 4x + 70 = 360

10x + 40 = 360

10x = 360 - 40

10x = 320

x = 320 : 10

x = 32

∡A = ∡C  = 3 × 32 - 15 = 96 - 15 = 81°

∡B = ∡D  = 2 × 32 + 35 = 64 + 35 = 99°