SabrinaRoth
SabrinaRoth SabrinaRoth
  • 23-03-2017
  • Mathematics
contestada

The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?

m∠B=

The interior angles formed by the sides of a pentagon have measures that sum to 540 What is the measure of angle B mB class=

Respuesta :

wagonbelleville wagonbelleville
  • 20-02-2019

Answer:

m∠B = 110°

Step-by-step explanation:

We know that,

The sum of the measures of the angles in a pentagon is 540°.

So, we get,

130 + (x-5) + (x+30) + 75 + (x-35) = 540

i.e. 3x + (130+30+75) - (5+35) = 540

i.e. 3x + 235 - 40 = 540

i.e. 3x + 195 = 540

i.e. 3x = 540 - 195

i.e. 3x = 345

i.e. x= 115°

Now, as m∠B = (x-5)° = (115-5)° = 110°

Hence, the measure of angle B is 110°.

Answer Link
3822092
3822092 3822092
  • 02-03-2022

Answer:

m<b=110

Step-by-step explanation:

got the answer correct on the test:)

Answer Link

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