Question

the ratio between the vertical angel to the base angle of an isosecles triangle 4 is to 3. find all the angles of the triangle​

Answer 1

Step-by-step explanation:

Assumption: Let the vertical angle be 4x° and the base angle be 3x°.

Therefore,as there are two base angles, sum of the base angles = 3x + 3x = 6x°

As per sum,

6x° + 4x° = 180° [sum of all angles of a triangle is 180°]

=> 10x ° = 180°

=> x = 18°

So,

Vertical angle = 4x°

= 4 × 18

= 72°

Base angle = 3x°

= 3 × 18

= 54°

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