Respuesta :

Answer:  46 degrees

Explanation:

Angle PRS = 98 degrees

The two smaller pieces add up to this larger angle, so,

(anglePRQ) + (angleQRS) = angle PRS

(3x-8) + (2x+6) = 98

5x-2 = 98

5x = 98+2

5x = 100

x = 100/5

x = 20

Then we can find each angle

  • angle PRQ = 3x-8 = 3*20-8 = 52 degrees
  • angle QRS = 2x+6 = 2*20+6 = 46 degrees

Notice how 52+46 = 98 to confirm the answers.

orangesss

Hi There, today we will solve your question

Definitions

Geometry - Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures.

Or

the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

[tex]\huge\blue{\mid{\fbox{\tt{QUESTION}}\mid}}[/tex]

Find the measures of ∠QRS

[tex]\huge\blue{\mid{\fbox{\tt{SOLVE}}\mid}}[/tex]

∵Add

[tex](3x-8)+(2x+6)=98\\5x-2=98\\5x=100\\x=20[/tex]

__________

[tex]\huge\blue{\mid{\fbox{\tt{FIND QRS}}\mid}}[/tex]

Values

  1. [tex]{\boxed{x=20}[/tex]
  • [tex]2x+6[/tex]
  • [tex]40+6[/tex]
  • [tex]46[/tex]

[tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]

∠QRS ⇒ [tex]{\boxed{46}[/tex]

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