Answer:
B) 26
Step-by-step explanation:
Since the triangle is a right triangle angle 1 and 2 should add to 90 degrees. you would evaluate 6x+2+16x=90. 22x+2=90. 2x=88x. x=4. Plug 4 into the equation for angle 1. 6(4)+2=26
Answer:
Step-by-step explanation:
AD is the diameter of the circle. The circle which AB and BC subtends at the circumference of the circle at B is 90 degrees.
The sum of the angles in a triangle i80 degrees. It means that
Angle 1 + angle 2 + 90 = 180 degrees
Angle 1 = 6x + 2
Angle 2 = 16x
Therefore
6x + 2 + 16x + 90 = 180
6x + 16x + 90 + 2 = 180
22x + 92 = 180
Subtracting 92 from both sides of the equation, it becomes
22x + 92 - 92 = 180 - 92
22x = 88
Dividing both sides by 22, it becomes
22x/22 = 88/22
x = 4
Angle 1 = 6x + 2 = 6×4 + 2 = 26 degrees
