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}`

❄