Question

1. The sum of the angles is 90° The difference between twice the larger angle and the smaller

angle is 105°. Find the measures of the two angles. ​

Answer 1

`\displaystyle 25°\:and\:°65`

Explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

`\displaystyle (195°)/(3) = (3m∠1)/(3) \\ \\ 65° = m∠1`

All you have left to do is this:

`\displaystyle 25° = -65° + 90°`

So, your two angle measures are
`\displaystyle 25°\:and\:°65.`

I am joyous to assist you anytime.