Question

answer help me!!!!!!!!!​

Answer 1

Given:-

• The ratio between the vertical angle and base angle of an isosceles triangle is 4:3.

To Find:-

• The all angles of triangle

Concept used:-

• Angle sum Property - Sum of all angle of triangle is 180°

Diagram:-

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){ \bf A }\put(0.5,-0.3){ \bf C }\put(5.2,-0.3){ \bf B }\end{picture}$

Now,

• Let the Ratio be x

• → Vertical angle = 4x

• → Base angle = 3x

• But it is an Isosceles triangle. Base angles are equal.

Therefore,

• → 4x + 3x + 3x = 180

• → 10x = 180

• → x = 180/10

• → x = 18°

Hence, The value of x is 18°.

• → Vertical angle = 4x → 4 × 18 = 72°

• → Base angles = 3x → 3 × 18 = 54°.

Therefore, all angles of triangle are 72°, 54° and 54°.

Answer 2

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