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How would I do this assignment I want to learn how to do it well explained with example?

How would I do this assignment I want to learn how to do it well explained with example-example-1
User Datinc
by
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1 Answer

10 votes

Answer:

The value of t is 22

Explanation:

Let us solve the question

In any triangle

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ The angle of triangles are ∠1, ∠2, and ∠3

m∠1 + m∠2 + m∠3 = 180°

∵ The three angles of the triangle are 2t, 3t, and 70°

∴ m∠1 = 2t

∴ m∠2 = 3t

∴ m∠3 = 70°

→ Substitute them in the rule above

2t + 3t + 70° = 180°

→ Add the like terms

(2t + 3t) + 70 = 180

∴ 5t + 70 = 180

→ Subtract 70 from both sides

∵ 5t + 70 - 70 = 180 - 70

∴ 5t = 110

→ Divide both sides by 5

t = 22

The value of t is 22

User Peter Collingridge
by
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