Answer:
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a₁ and the common difference of successive members is d, then the n-th term of the sequence (aₙ) is given by: aₙ=a₁+(n-1)d, and in general aₙ=aₘ+(n-m)d.
We know that
angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°
angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°
the answer is
∡1 is 45°
alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°
Answer:
D
Step-by-step explanation:
Because their are more than one ranges