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Find, Giving a Reason, the Unknown Marked Angles, in a Triangle Drawn Below: - Mathematics

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Question

Find, giving a reason, the unknown marked angles, in a triangle drawn below:

Sum

Solution

We know that,

Exterior angle of a triangle is always equal to the sum of its two interior opposite angles (property)

110° = 2x + 3x

5x – 110°

x = `110^circ/5`

x = 22°

∴ 2x = 2 x 22 = 44°

3x = 3 x 22 = 66°

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Chapter 26: Triangles (Including Types, Properties and Constructions) - Exercise 26 (A)

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Selina Mathematics [English] Class 6
Chapter 26 Triangles (Including Types, Properties and Constructions)
Exercise 26 (A) | Q 7.3
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