Answer:
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
