Question

PLZ HELP MEEEEE
1. What is the measure of 2. What is the measure of 3. What is the measure of 4. What is X?

Answer 1

Answer:

1. <a = 90°
2. <b = 45°
3. <c = 45°
4. x = 10°

Step-by-step explaination:

AC is a straight line, D is a ray on it.

Hence, 135° and <b are a linear pair.

Therefore,

<b + 135° = 180°

<b = 180° - 135°

<b = 45°

And,

AC and BD are intersecting lines.

Hence, <b and <c are vertically opposite angles.

Therefore,

<b = <c

45° = <c

Also,

AC is a straight line.

Hence the angles; <a, <c and 45° add up to 180°.

Therefore,

<a + <c + 45° = 180°

<a + 45° + 45° = 180°

<a + 90° = 180°

<a = 180° - 90°

<a = 90°

CAD and TAG are interesting lines,

Hence, <CAT and <GAD are vertically opposite angles.

<CAT = <GAD

5x = 7x - 20°

5x - 7x = -20°

-2x = -20°

x = -20°/-2

x = 10°