Problem 1 :
In the figure shown below, m∠2 = 75°. Find the measures of the remaining angles.
Problem 2 :
In the figure shown below, m∠3 = 102°. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.
a. ∠5 b. ∠6 c. ∠11 d. ∠7 e. ∠15 f. ∠14
Problem 3 :
In the figure shown below, m∠2 = 92° and m∠12 = 74°. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.
a. ∠10 b. ∠8 c. ∠9 d. ∠5 e. ∠11 f. ∠13
Problem 4 :
If m∠1 = 3x + 15, m∠2 = 4x - 5, and m∠3 = 5y, find the values of x and y.
Problem 5 :
In the figure shown below, find the values of x and y.
Problem 6 :
In the figure shown below, find the values of x, y and z.
Problem 7 :
In the figure shown below, find the values of x and y.
Problem 8 :
Using a 3rd parallel Line – Auxiliary Line, find the value of x.
Problem 9 :
Using a 3rd parallel Line – Auxiliary Line, find the value of x.
Problem 10 :
A diagonal brace strengthens the wire fence and prevents it from sagging. The brace makes a 50° angle with the wire as shown. Find the value of the variable.
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