In triangle BDE, angle B is equal to 30% of angle D, and angle E is 19 degrees greater than angle D. Find angle B.

univerkov | May 17, 2021 | education

Let the value of the angle D = X0.

Then the value of the angle E will be equal to: B = X * 30/100 = 0.3 * X, and the value of the angle E = (X + 19).

The angles of a triangle add up to 180.

X + 0.3 * X + X + 19 = 180.

2.3 * X = 180 – 19.

2.3 * X = 161.

X = 70.

Then the angle B = 0.3 * 70 = 21.

Answer: Angle B = 21.

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