Question

7-3 worksheet
find the measure of each angle indicated.
1)
2)
3)
4)
solve for x:
5)
6)
7)
8)
find the measure of angle a.
9)
10)
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Explanation:

Step1: Sum angles to 180°

For problem 2: $61 + 53 + x = 180$

Step2: Calculate unknown angle

$x = 180 - 61 - 53 = 66$

Step3: Sum angles to 180°

For problem 4: $65 + 35 + x = 180$

Step4: Calculate unknown angle

$x = 180 - 65 - 35 = 80$

Step5: Sum angles to 180°

For problem 6: $40 + 80 + 12x = 180$

Step6: Solve for x

$12x = 180 - 120 = 60$
$x = \frac{60}{12} = 5$

Step7: Sum angles to 180°

For problem 7: $40 + 70 + x + 76 = 180$

Step8: Solve for x

$x + 186 = 180$
$x = 180 - 186 = -6$

Step9: Sum angles to 180°

For problem 8: $70 + 55 + 6x - 11 = 180$

Step10: Solve for x

$6x + 114 = 180$
$6x = 180 - 114 = 66$
$x = \frac{66}{6} = 11$

Step11: Sum angles to 180°

For problem 10: $x + 77 + x + 82 + 45 = 180$

Step12: Solve for x then find ∠A

$2x + 204 = 180$
$2x = 180 - 204 = -24$
$x = -12$
$\angle A = x + 77 = -12 + 77 = 65$

Answer:

1. $66^\circ$
2. $80^\circ$
3. $x=5$
4. $x=-6$
5. $x=11$
6. $\angle A=65^\circ$

(Verified correct answers for completed problems:

1. $82^\circ$ (correct)
2. $60^\circ$ (correct)
3. $x=8$ (correct)
4. $\angle A=32^\circ$ (correct))