Math, asked by tanujak949gmailcom, 1 year ago

abc is a right angled triangle in which angle a equal to 90° and ab equal to ac find angle b and angle c

Answers

Answered by puja77
6
heya Mate here is your answer



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Answered by AdiN05517
7
Hi friend!

<marquee direction="right" behavior="alternate"><big><big><b>Answer:</b></big></big></marquee>

Since the sides that start from the vertex A (90°) are equal, it is an <b>isosceles right triangle</b>. In an isosceles triangle the two angles at the end of the equal sides (where they do not touch) have equal angles. So, if one angle is 90° and Angle B and C are equal, then they must be <big><b>45°</b></big> each.

Because, \: angles \: A+B+C=180° \: (angle-sum \: property) \\ \\ Let's \: take \: B \: and \: C \: to \: be \: \large{x}. \\ So, A + x + x = 180° \\ 90°+2x=180° \\ 2x = 180°-90° = 90° \\ x = \frac{90°}{2} = 45° \\ \\ So, B = C = x = 45° \\ \boxed{\large{Therefore, \: Angles \: B \: and \: C = 45°}}

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