Answer: 40
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Step-by-step explanation:
The three angles of this triangle are
The square angle marker represents 90 degrees. It's also referred to as "a right angle".
As a rule, the three angles of any triangle always add to 180. Let's use this fact to solve for x
(angle1)+(angle2)+(angle3) = 180
(20x)+(90)+(26x-2) = 180
(20x+26x) + (90-2) = 180
46x+88 = 180
46x = 180 - 88 .... subtract 88 from both sides
46x = 92
x = 92/46 ........ divide both sides by 46
x = 2
Now that we know what x is, we can find angle A
angle A = 20x = 20*2 = 40 degrees
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As extra info, we could also find the other angle with this x value
26x - 2 = 26*2 - 2 = 52 - 2 = 50 degrees
The three angles of the triangle are: 40, 50, 90 which add to 40+50+90 = 180. This helps confirm our answer.