Question

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

Answer 1

❄ 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 $\boxed{\angle2=63}$}

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

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

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

❄