60.9k views
4 votes
Consider parallelogram ABCD below.
Use the information given in the figure to find x, m

Consider parallelogram ABCD below. Use the information given in the figure to find-example-1
User El Yobo
by
8.7k points

1 Answer

4 votes

Answer:

x = 3 ; ∠m B = 85° ; ∠m BAC = 34°

Explanation:

Opposite sides of a parallelogram are equal. If 2x = 6, then x must be equal to 3. The same idea goes for angles. Since angle D measures 85°, angle B must as well. Using the formula 180°(n-2), where n = number of sides, it is seen that there are 180°(2) = 360° in a four sided shape. Knowing two of them, we can subtract 85*2 from 360 to find the rest of the degrees. 360° - 170° = 190°. Since the other two angles are equal as well, 190°/2 = 95°. Since ∠m DAC = 61°, ∠m BAC must equal 95°-61°, which is equal to 34°

User Rob Lowe
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories