Question

ii. If one angle of a right-angled triangle measures 35o, what is the size of the remaining angle?

Answer 1

Answer:

A= 35°, B= 90°, C= 55°

Step-by-step explanation:

Given one angle of triangle is 35° and we know that one angle of triangle is 90°.

Here we two angles are given.

So,

By angle-sum property of triangle,

A+B+C = 180°

35°+90°+C = 180°

125°+C= 180°

C= 180°-125°

C= 55°

Answer 2

$\large\underline{\bigstar \: \: {\sf {QuesTion :-}}}$

If one angle of a right-angled triangle measures 35°, what is the size of the remaining angle?

$\large\underline{\blacksquare \: \: {\sf {Given :-}}}$

Measure of 1st angle = 35°

Measure of 2nd angle = 90° {∵ Right-angles Triangle}

$\large\underline{\blacksquare \: \: {\sf {To \ Find:-}}}$

Measure of 3rd angle

$\large\underline{\blacktriangleright \: \: {\sf {SoluTion :-}}}$

$\tt {\because \ Sum \ of \ angles \ of \ triangle = 180^{o}}\\\\\\\tt {\therefore \ 35^{o}+90^{o}+x^{o}=180^{o}}\\\\\\\tt {\Rightarrow \ 125^{o}+x^{o}=180^{o}}\\\\\\\tt {\Rightarrow \ x= 180^{o}-125^{o}}\\\\\\\tt{\Rightarrow \ 55^{o}}$

Measure of 3rd angle = 55°

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