georgeonnatreev9170 georgeonnatreev9170
  • 10-03-2021
  • Mathematics
contestada

∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+24)^{\circ}∠A=(7x+24) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A.

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 12-03-2021

Answer:

115degrees

Step-by-step explanation:

Given the following angles

m<A=(7x+24)°

m<B=(7x-26)°

Since both angles are supplementary, their sum will be 180 degrees

Taking the sum of the angles

m<A + m<B = 180

7x+24 + 7x - 26 = 180

14x - 2 = 180

14x = 180+2

14x = 182

x = 182/14

x = 13

get m<A

m<A = 7x+24

m<A = 7(13) + 24

m<A = 91 + 24

m<A  = 115

Hence the measure of angle m<A is 115degrees

Answer Link

Otras preguntas

23.If the sides of a trangle have lengths 30, 40 and 50, what is the length of the shortest altitude?​
UW=18 WV=21 what is UV
how was religious liberty in pennsylvania limited under the charter of privileges
Sandhill Homes Company is considering the acquisition of Whispering, Inc. early in 2025. To assess the amount, it might be willing to pay, Sandhill Homes makes
depinisyon ng pag aaral o pagkuha ng mga teknikal na kaalaman partikular sa mga bansang industriyalisado
the point g is plotted on the coordinates below plot the point G’ the reflection of g over the x axis
What answer best fits the line and explain why A- y-intercept=0, slope=1 B- y-intercept= 100, slope=5 C-y-intercept=100,slope=-5 D- y-intercept=0,slope=-1
You have a Microsoft 365 E5 subscription. You create an eDiscovery (Premium) case named Case1. Which two non-custodial data locations can you add to Case1? Each
What type of story must be long?
5=1/3(5x-15) solve for x in simplest form