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natta225 [31]
3 years ago
5

Triangle- interior angles . Please help me !

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

In  ΔPQR,  x = 25  , ∠P  = 45° and  ∠R  =  90°

Step-by-step explanation:

Here, In ΔPQR,

∠P = x°,  ∠Q = 45° and ∠R = (x + 45)°

by ANGLE SUM PROPERTY of a triangle:

Sum of all interior angles in any given triangle is always 180°.

⇒ In ΔPQR,

∠P +  ∠Q + ∠R = 180°

or,  x+ 45° +  (x + 45)° = 180°

⇒  2x + 90° =  180°

or, 2x =  180° - 90° = 90°

⇒ x = 90/ 2 = 45

or, x = 45

Hence,  ∠P  = x = 45°

and ∠R  = (x + 45)°  = (45 + 45)°  = 90°

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