The value of x is 15. The measurement of m∠M = 20°
What is an equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60° and congruent with the others.
The length each side of △ABC is 9 units.
Thus it is an equilateral triangle. The measurement of each angle is 60°.
Given that, ∠ABC = 4x°.
Therefore, 4x° = 60°
Divide both sides by 4:
x = 15
43)
Given that, △LMN and △QRS are congruent triangle.
∠MNL = ∠QRS = 90°.
∠MLN = ∠QSR = 70°
and ∠NML = ∠RQS = x° (say)
The sum of all three angles of a triangle is 180°.
∠MNL + ∠MLN + ∠NML = 180°
90° + 70° + x° = 180°
Add like terms:
160° + x° =180°
Subtract 160° from both sides:
x° = 20°
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