Question

How do you draw an angle ABC , with A=35 degrees, AC=6cm and C=65 degree?

Answer 1

Please read the explanation.

Explanation:

Given:

`color(red)(/_A = 35^@`

Magnitude of Side `AC" = 6 "cm`

`color(red)(/_C = 65^@`

We must draw an angle `/_ABC` using the given values.

`color(green)(Step.1`

Construct a line segment `AC` with a magnitude of `"6 cm"`.

How to measure a 65-degree angle with a protractor?

Position the midpoint of the protractor on the Vertex of the angle A.

Find the location of zero line on the protractor.

Line up one side of the angle with the zero line of the protractor.

Observe the degrees where the other side crosses the number scale. Mark the angle with a point.

Examine the sketch below:

Draw a line from vertex A to this point that makes `35^@` angle as shown above.

`color(green)(Step.2`

Next, position the midpoint of the protractor on the Vertex of the angle C.

Measure a `65^@` in the clock-wise direction from the vertex `C` a shown below:

The intersection of the two lines drawn above, will be our Vertex B.

If we measure the angle at `B`, we must get:

`180^@-(35^@+65^@)=80^@`

Now, we have the required angle `/_ABC`

`color(green)(Step.3`

Examine the following image that verifies this observation: