1. ∠1 is complementary to ∠2. 1. givem
2. m∠1 + m∠2. 2. Definition of complementary
3.BD bisects ∠ADC. 3. Given
4. 4. Definition of bisect
5. m∠2 = m∠3 5.
6. m∠1 + m∠3 = 90° 6. sunsitution
7. 7.
Answer:
a. 156°
Step-by-step explanation:
The marked angle at P is the average of the arcs intercepted:
((13x)° + (5x+10)°)/2 = (10x -7)°
(18x +10)/2 = 10x -7 . . . . simplify a bit
9x +5 = 10x -7 . . . . . . . . simplify more
9x +12 = 10x . . . . . . . . . . add 7
12 = x . . . . . . . . . . . . . . . . subtract 9x
Now, use this value to find (13x)°.
13x° = 13(12)° = 156° . . . measure of arc DC
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