We know angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º. What is the measure of angle F in degrees?

Based on the information given, the value of angle F is 64°.

From the information given, it was stated that angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º.

Therefore, the measure of angle F in degrees will be calculated thus:

B + D + F = 180°

77° + 39° + F = 180°

116° + F = 180°

F = 180° - 116°

F = 64°

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64º

Step-by-step explanation:

We can find ∠F by looking at triangle BDF. A triangle's interior angles add up to 80º. We know that ∠B=77º and ∠D=39º, and ∠B+∠D+∠F=180º. So, 77º+39º+∠F=180º. Therefore, 116º+∠F=180º, and ∠F=64º.