Question

Find the measure of angle x in the figure below: (1 point)

35°

47°

73°

78°

Answer 1

35°

Explanation:

1. First, let's find the measure of Angle y. To do this, we should first know that 56 + y + 51 = 180 because they form a line/straight angle.

• 
  `56 + 51 + y = 180`
• 
  `107 + y = 180`
• 
  `y = 73`
• Angle y is 73 degrees.

2. Next, we have to find the measure of Angle X. We know that the sum of all angles in a triangle is 180 degrees, so
`x + 73 + 72 = 180`

• 
  `73 + 72 + x = 180`
• 
  `145 + x = 180`
• 
  `x = 35`

Therefore, x = 35°.