Question

yeah good job Jugger act boxes to complete the pairs Mall tiles will be used as the angle measures with the value of x in each triangle

Answer 1

Answer:

1. 33

2. 60

3. 145

4. 124

Explanation:

Part 1:

The angle x, 79, and 72 must add up to 180 because they are the interior angles of a triangle; therefore,

$x+75+72=180$

which can be written as

$x+147=180$

subtracting 151 from both sides gives

$x=180-147$$x=33^o$

which is our answer!

Part 2.

By exterior angle theorem, the angle 125 is equal to x + 65

$125=x+65$

Solving for x gives

$x=60$

which is our answer!

Part 3:

The leftmost interior angle is 180 - 125 = 55

The top interior angle is 180 - 90 = 90

The sum of the leftmost interior and the top interior is 55 + 90 = 145

Therefore, by Exterior angle theorem

x = 145

which is our answer!

Part 4:

By exterior angle theorem

$x=62+62$$x=124$

which is our answer!