9) If m/1 = 45° and 21 and 22 are complementary angles. Find m22.

Question

asked Mar 22, 2023 213k views

1 Answer

WeaklyTyped · Answer 1 · 2023-03-27T23:05:11+0000

❄ Hi there,

keeping in mind that the sum of complementary angles is 90°,

set up an equation, letting
$\angle2$ be x –

$\triangleright \ \sf{\angle1+x=90}$ {and we know that
$\boxed{\angle1=45}$ }

$\triangleright \ \sf{45+x=90}$

$\triangleright \ \sf{x=90-45}$

$\triangleright \ \sf{x=45}$

$\triangleright \ \sf{\angle2=45\textdegree}$

__________

Keeping in mind that a right angle is 90°,

set up an equation, letting
$\angle1$ be x:

$\triangleright \ \sf{x+\angle2=90}$ {and we know that
$\boxed{\angle2=63}$ }

$\triangleright \ \sf{x+63=90}$

$\triangleright \ \sf{x=27}$

$\triangleright \ \sf{\angle1=47\textdegree}$

❄