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11 votes
11 votes
A right triangle has one angle that measures 44°. What is the measure of the other acute angle?

User Aras
by
2.8k points

2 Answers

23 votes
23 votes

Given:-

  • A right angle measures 90°
  • Measure of other angle = 44°

To find:-

  • Measure of 3rd Angle

Solution:-


\underline{\dag{ \frak{\pink{ \: As \: we \: know \: that \ratio}}}}

❍ Sum of all angles of Triangle is 180°

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Similarly -

As we are talking about right angle so, Obviously one of the angle will be 90°

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Let's do it by step by step:


\begin{gathered}\::\implies\sf{90^\circ + 44^\circ\:+\:x\;=180^\circ}\\\\\\ :\implies\sf{ {134}^( \circ) } + x = {180}^( \circ)\\\\\\ :\implies\sf{x = {180}^( \circ) } - {134}^( \circ)\\\\\\ :\implies\sf{x = {46}^( \circ) }\end{gathered}

⠀⠀

.°. Hence, Measure of other angle is 46°

User Mohammed Ramadan
by
2.7k points
14 votes
14 votes

Answer:

46°

Explanation:

It is given that one of the angles measure 44°. In a right triangle, one of the angles is guaranteed to be 90°. A triangle's total angle measurement is 180°. Set the equation:

Answer = Total measurements - (one angle + right angle)

Answer = 180 - (90 + 44)

= 180 - 134

= 46

46° is your answer.

~

User Redtama
by
3.0k points
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