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The value of t is 22

Step-by-step 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

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