Math, asked by sunitedu, 1 year ago

Find the three angles

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Answered by MsPRENCY

Given :

In an isosceles triangle, $\angle Q = \angle R = 2\angle P$

To Find :

All the three angles of the given triangle

$\huge\underline\green {\tt Solution:}$

Let angle Q and R be ' x ' So, Angle P will be 2x

As we know,

Sum of all angles of a triangle is 180°

Now,

According to Question :

x + x + 2x = 180°

➡ 2x + 2x = 180°

➡ 4x = 180°

➡ $x = \dfrac {180}{4}$

•°• x = 45°

Hence,

Answer :

$\angle Q = 45\degree \\\\ \angle R = 45\degree \\\\ \angle P = 2 × 45° = 90°$

Answered by BrainlyMT

Answer:

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Manu2605

angle Q = angle R = 2angle P ... (i)

In ∆PQR:-

angleP+ angleQ + angleR = 180° (angle sum property of ∆)

From(i)

angleP+ 2angleP +2angleP=180°

5angleP=180°

angleP=180°/5

AngleP=36°

AngleQ=72°

AngleR=72°

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