JassiahI589741 JassiahI589741
  • 03-11-2022
  • Mathematics
contestada

In parallelogram ABCD, find m angle A

Respuesta :

SanayL45764 SanayL45764
  • 03-11-2022

Take into account that the sum of the interior angles in the given figure is equal to 360°. Then, you have:

m

replace the algebraic expressions into the previous equation and consider

mm

mm

2m2(6x + 20) + 2(4x + 10) = 360

12x + 40 + 8x + 20 = 360

20x + 60 = 360

20x = 360 - 60

20x = 300

x = 300/20

x = 15

next, replace x=15 into the expression for mm

Hence, the measure of angle A is 110°

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