Question

One of angle of a triangle is 75 difference of other two angles is 35 then largest angle among these

Answer 1

let other angles be x° and y°

So according to ques,

x-y=35

and we know sum of all the angles of triangle is 180

So,

75+x+y=180

=> x+y=180–75=105

Now solving two equations

(1) x-y=35

(2) x+y=105

x= 70 & y=35

Other angles of triangle is 70° & 35°.

Answer 2

Answer:

Step-by-step explanation:

Triangle :

Having three edges and three vertices, a triangle is a three-sided polygon. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given:

One of angle of a triangle is $75^{0}$.

difference of other two angles is $35^{0}$.

Find:

To find the largest angle .

Step by step solution:

Consider that the other two angles be $x$and $y$

Given$x-y=35^{\circ} \ldots \ldots \ldots . .(i)$

Now using angle sum property of triangle

$\begin{aligned}&\Rightarrow \mathrm{x}+\mathrm{y}+75^{\circ}=180^{\circ} \\&\Rightarrow \mathrm{x}+\mathrm{y}=105^{\circ} \ldots \ldots \ldots . . \text { (ii) }\end{aligned}$

By solving both equations

$x=70^{\circ}, y=35^{\circ}$

Therefore, the measure of largest angle is $75^{\circ}$

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