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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. ​

1 Answer

3 votes

Answer:


\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.

User Johnnyodonnell
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