Question

PQR is a right angled triangle in which angle Q=90° ans PQ =QR .find angle R​

Answer 1

Answer:

as we know that the sum of the angles of triangles is 180

Q=90

Answer 2

$\Large{\underline{\sf{Given:}}}$

☞ PQR is a Right Angle Triangle

☞ Right Angled at Q

☞ PQ = QR

$\Large{\underline{\sf{To\;Find:}}}$

☞ Value of Angle PRQ

$\huge{\underline{\underline{\bf{Solution:}}}}$

✒️ As Angles Opposite To Equal Sides Are Equal In A Triangle

∠PRQ = ∠RPQ

✒️ Sum of all the angles in a triangle are Supplementary.

$→\;{\tt{∠PRQ+∠RPQ+∠PQR = 180°}}$

$→\;{\tt{2∠PRQ = 180°-∠PQR}}$

$→\;{\tt{∠PRQ = \frac{180°-90°}{2}}}$

$➝\:{\bf{∠PRQ = 45°}}$

$\Large{\green{\underline{\underline{\mathfrak{AnSweR:}}}}}$

Value of Angle R ◕➜ $\Large{\red{\mathfrak{45°}}}$

Hope It Helps You ✌️