High School

Angles R and S are complementary. Angle R is [tex]2x + 6[/tex] degrees, and angle S is 62 degrees. What is the value of [tex]x[/tex]?

Answer :

■ complementary angles ■

[tex]\rule{350}{2}[/tex]

▸ two complementary angles always add up to 90°. so, to find the value of x, we can set up an equation:

[tex]\longmapsto\quad\sf{2x+6+62=90}[/tex]

solve for x:

[tex]\longmapsto\quad\sf{2x+68=90}[/tex]

[tex]\longmapsto\quad\sf{2x=22}[/tex]

[tex]\longmapsto\quad\sf{x=11}[/tex]

therefore, x = 11.

[tex]\rule{350}{2}[/tex]

regards..!

Answer:

x = 11

Step-by-step explanation:

complementary angles sum to 90° , that is

∠ R +∠ S = 90 ( substitute values )

2x + 6 + 62 = 90

2x + 68 = 90 ( subtract 68 from both sides )

2x = 22 ( divide both side by 2 )

x = 11