Question

Find z using the image.

Answer 1

115°

Explanation:

Here p is a straight line.

So the angles on it add up to 180°.

• 65° + x = 180°
• x = 180° -65° = 115°

Well, we're familiar with vertically opposite angles' theorem. Angles making up on it are equal to each other

• We can see x and z angles make up vertically opposite angles.So x = z or they are equal.
• SO z = 115° since x = 115°

Answer 2

z = 115°

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Angles z and 65° form a linear pair, hence they add up to 180°.

Set up an equation and solve for z:

• z + 65° = 180°
• z = 180° - 65°
• z = 115°