Answer:
Step-by-step explanation:
Given: ∠A=65°, ∠B=3x-10 and ∠C=2x
To find: The value of x and then of ∠B and ∠C.
Solution:
In ΔABC, using the angle sum property of triangles, we get
∠A+∠B+∠C=180°
⇒65°+3x-10+2x=180°
⇒5x+55=180
⇒5x=125
⇒x=25
Thus, the value of x will be 25°
Now, the measure of angle B will be:
∠B=3x-10=3(25)-10=65°
⇒∠B=65°
And the measure of the angle C will be:
∠C=2x=2(25)
⇒∠C=50°
Therefore the measures of the angle B and angle C will be ∠B=65° and ∠C=50°.
