The value of ∠XMN = 80.
What is angle?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.
The value of total ∠LMN = 145.
∠LMN = ∠LMX +∠XMN
145 = (4x + 5) + (6x - 10)
145 = 4x + 5 + 6x - 10
145 = 10x -5
10x = 150
x = 15
Substitute the value of x in ∠XMN = (6x - 10)
∠XMN = 6×15 - 10
= 90 - 10
∠XMN = 80
Therefore, the value of the angle ∠XMN = 80.
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