Question

26.One of the angles of a triangle is 65 degree. If the difference of the remaining angles is 35 degree ,then the remaining angles are:




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Answer 1

Hence, the remaining angles are 75° and 40°.

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☆Additional Information ☆

What is an angle?

=> Any space which is measured in degrees between two intersecting lines or surfaces where the point is closer which means where the point meets is known as an angle.

In simple language, an angle can be defined as the figure formed by two rays meeting at a common end point.

what is degree ?

=> the amount, level, or extent to which something happens or is present is mainly known as degree,

what is remaining angles?

=> When an angle is subtracted from a given angle and the angle remains is known as remaining angles.

Answer 2

Question

One of the angles of a triangle is 65 degree. If the difference of the remaining angles is 35 degree, then the remaining angles are:

$\rule{300}{0.5}$

Answer

Let one angle be ⇒ $\angle x$

Other angle ⇒ $\angle x+35$

We know that the sum of all angles in a triangle is equal to 180.

Now our equation would be ⇒ $x+x+35^{o} +65 ^{o} =180^{o}$

Let's solve your equation step-by-step

$x+x+35+65=180$

Step 1: Simplify both sides of the equation.

⇒ $x+x+35+65=180$

(Combine Like Terms)

⇒ $(x+x)+(35+65)=180$

⇒ $2x+100=180$

Step 2: Subtract 100 from both sides.

⇒ $2x+100-100=180-100$

⇒ $2x=80$

Step 3: Divide both sides by 2.

⇒ $\frac{2x}{2}=\frac{80}{2}$

⇒ $x=40$

∴One angle ⇒ 40°

∴Other angle ⇒ 40+35 = 75°

$\rule{300}{0.5}$

Additional Information

What is a triangle?

Triangle is a polygon with three sides and three vertices. All the three angles of a triangle sum up to 180°

What is the formula to find the perimeter of a triangle?

The formula to find the perimeter of a triangle is ⇒ $\sf a+b+c$

What is the formula to find the area of a triangle?

The formula to find the area of a triangle is ⇒ $\sf \frac{1}{2}bh$