Math, asked by rakhisahabng, 4 months ago

In a right-angled triangle, ine angle measures 35°. Find each of thr remaining two angles​

Answers

Answered by nazrananaazm
7

Answer:

In any right-angled triangle, one of its angle will always be 90 degrees.

The other angle= 35 degrees

let's keep the unknown angle as x

We have already learnt that the sum of all three angles of a triangle is 180 degrees.

Therefore the angle is,

90 + 35 + x = 180

125+ x = 180

( when transposing the + becomes into - )

x = 180 - 125 = 180

x = 55 degrees

Hope this was helpful !

Step-by-step explanation:

Answered by BrainlySupreme
114

Step-by-step explanation:

Given:-

A right angled Triangle ∠90°

Measure of one Angle = 35°

To Find:-

Other two angles

Solution:-

⠀⠀We know that the measure of one angle in Right angled Triangle is 90° So, The measure of Base of right angled Triangle is 90°

⌬ Sum of all angles in Triangle = 180°

⠀⠀

❍ Let the Other side of Triangle be x

⠀⠀

\:\:{\bf{\dag}{\underline{\frak{\pink{~Substituting\;the\;values}}}}}

⠀⠀

\begin{gathered}\begin{gathered}\:\: :\implies\sf{90}^{\circ} + {35}^{\circ} + x = {180}^{\circ}\\\\\\:\implies\sf{125}^{\circ} + x = {180}^{\circ}\\\\\\ :\implies\sf{x = {180}^{\circ} - {125}^{\circ}} \\\\\\ :\implies \boxed{\sf{ x = {55}^{\circ}}}\end{gathered}\end{gathered}

⠀⠀

\therefore{\underline{\sf{Hence, \: The \: remaining \: sides \: are \: \: \pmb {55}^{\circ}, {\pmb{90}^{\circ}}}}}

⠀⠀⠀⠀⠀⠀⠀⠀___________________

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