The values of the angles, ∠M = 66°, ∠N = 80°.
To calculate the ∠M and ∠N we use the properties of a triangle.
Properties of a triangle
The sun of the exterior angle of a triangle is equal to the sum of the two opposite interior angle.
From the diagram,
- ∠M+∠N = ∠Q............. Equation 1
Given:
- ∠M = (4y+6)°
- ∠N = (5y+5)°
- ∠Q = 146°
Substitute these values into equation
- (4y+6)+(5y+5) = 146
- 9y+11 = 146
- 9y = 146-11
- 9y = 153
- y = 153/9
- y = 15.
Substitute the value of y into the expression below
∠M = (4×15+6) = 66°
∠N = (5×15+5) = 80°
Hence, The values of the angles, ∠M = 66°, ∠N = 80°.
Learn more about properties of triangle here: https://brainly.com/question/24580745
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