Question

in the adjoining figure measure of angle A B D is equals to 110 degree then measure of angle ACD is equals to​

Answer 1

Brainly.in

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Secondary SchoolMath 50+25 pts

In the given figure ab = AC and Angle ACD is equal to 125 degree find BAC

Report by Nidhigahlot39495 03.09.2018

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Gajoh · Virtuoso

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coolbarbarian99

Coolbarbarian99 Ambitious

in triangle ABC,

AB=AC implies that ABC is an isoceles triangle

let one of its equal angle be x then ,

x +x+∠A = 180° ( ANGLE SUM PROPERTY )

⇒ 2x + ∠A = 180° ...... EQ.1

ALSO ,∠A+x = 125° (EXTERIOR ANGLE PROPERTY )

MULTIPLYING THE ABOVE EQUATION BY 2 WE GET ,

2∠A+2x = 250° ......... EQ. 2

SUBTRACTING EQ. 1 FROM EQ.2 ,

2∠A + 2x -2x -∠A= 250°-180°

⇒∠A = 70°

HOPE IT HELPED !