jayleighshumate jayleighshumate
  • 10-02-2021
  • Mathematics
contestada

if m<y=(2x-3)°,m<z=(13x-41)°, and <a is a straight angle, find the sum of the measures of the two angles.​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 19-02-2021

Answer:

[tex]Sum = (15x - 44)^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle y = (2x - 3)^{\circ}[/tex]

[tex]\angle z = (13x - 41)^{\circ}[/tex]

Required

Calculate the sum of the two angles

[tex]Sum = \angle y + \angle z[/tex]

[tex]Sum = (2x - 3)^{\circ} + (13x - 41)^{\circ}[/tex]

Collect Like Terms

[tex]Sum = (2x +13x)^{\circ} - (3+ 41)^{\circ}[/tex]

[tex]Sum = (15x)^{\circ} - (44)^{\circ}[/tex]

[tex]Sum = (15x - 44)^{\circ}[/tex]

Hence, the sum of the two angles is 15x - 44

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