in triangle ADE angle ADE is 35° and AED is 45° B and C are two points on DE such that triangle ABC is an is isoceles triangle find the angles of triangle ABC
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Step-by-step explanation:
In ∆ADE, D=35°, E=45°. A=?
A+D+E=180°,
35°+45°=A=180°
A=180°-80°=100°..
BAC=100/3.
In ∆ABC, B=C(angles equal to equal sides)
A+B+C=180°
100/3°+B+B=180°.
100°+3B+3B=3×180°
6B=540°-100°
6B=440°
B=C=440°/6=73.3°
A+B+C=180°.
A=180°-2×73.3
A=180°-146.6°
A=33.4°.
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