Question

What is the measure 22?Angles are not necessarily drawn to scale.BMAAs46°FGMYCoMYHProProTed33DE

Answer 1

Step 1

Consider triangle BDH,

The sum of angle in the triangle BDH is 180 degrees

Step 2

`\begin{gathered} \angle B\text{ + }\angle D\text{ + }\angle H\text{ = 180} \\ 33\text{ + 46 + }\angle H\text{ = 180} \\ \angle H\text{ = 180 - 33 - 46} \\ \angle H\text{ = 101} \end{gathered}`

Step 3

`\begin{gathered} x\text{ + }\angle H\text{ = 180 Sum of angles on a straight line.} \\ x\text{ + 101 = 180} \\ \text{ x = 180 - 101} \\ \text{x = 79} \end{gathered}`

Final answer

x = 79