Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

An angle measures 8° more than the measure of its complementary angle. What is the measure of each angle?

Sagot :

ThαtButtєřflíєs

  • What is complementary angle ?

  • When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.

[tex]\qquad[/tex]____________________

Explanation :-

  • Measure of an angle is 8° more than the measure of it's complementary angle. We are asked to find measure of each angle!

Solution :-

  • One of the complementary angles be "x" . Then the other angle becomes " (x + 8)° "

  • Sum of these two angles is equal to 90° . Since they are complementary angles.

[tex]\qquad[/tex] [tex] \bf{\underline{\underline{\sf According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf \twoheadrightarrow {x\ +\ x\ +\ 8°\ =\ 90⁰} }[/tex]

[tex]\qquad[/tex][tex] \sf \twoheadrightarrow 2x + 8° = 90° [/tex]

[tex]\qquad[/tex][tex] \sf \twoheadrightarrow 2x = 90° - 8° [/tex]

[tex]\qquad[/tex][tex] \sf \twoheadrightarrow 2x = 82 [/tex]

[tex]\qquad[/tex][tex] \sf \twoheadrightarrow x = \cancel{\dfrac{82°}{2}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf \twoheadrightarrow x = 41° }[/tex]

Then –

[tex]\qquad[/tex][tex] \bf \longrightarrow x +8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 41° + 8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 49° [/tex]

  • The measures of the two given angles are 41° and 49°.

[tex]\qquad[/tex]______________________

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.