What are vertical angles?

Mathematics

2 answers:

Paul [167]3 years ago

7 0

Step-by-step explanation: In the diagram that is attached in the image provided, angles 1 and 2 are called vertical angles.

Vertical angles such as angles 1 and 2 share a common vertex which in this case is x and whose sides form opposite rays. Angles AXD and CXB would also be classified as vertical angles. When two lines intersect, they will always form two pairs of vertical angles.

masya89 [10]3 years ago

4 0

Answer:

Vertical angles are:

The opposite angles formed by two intersecting lines. Vertical angles are congruent because the angles have the same measure.

In simpler words:

They have the same measure as one another.

Hope I helped you get the answer to your question!!! ^_^

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Please help me with number ten and twelve

jasenka [17]

Answer: $93,\ 34^{\circ}$

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

$\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15$

$\Rightarrow PQ=8x-27\\\Rightarrow PQ=93$

For figure (ii)

Two triangles WXZ and WZY are congruent

$\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}$