angle1 and angle2 form a linear pair angle1=(7x+10)degrees angle2 =(3x) degrees Find the measure of angle 1

Answer 1

A linear pair is defined as:

1. Two angles that share a common vertex.

2. The two angles that also share a common edge.

3. The sum of the measures of the two angles is 180 degrees.

If you look at a linear pair, you will see a straight line with a ray coming off a point of the line.

Clearly, not all supplementary angles can also be classified as linear pairs.

Finally, it is essential that you include the units, at least in your final answer. So, 129 degrees and 51 degrees, or 129° and 51°. The symbol is the preferred method.

I have known some teachers who would count the whole problem wrong if a student left off the units. After all, is there a difference between 10 cents and 10 dollars? Ten inches and 10 miles? 10 ounces and 10 tons?

Answer 2

If two angles form a linear pair, then those angles are supplementary.

If two angles are supplementary, then the sum of the measures of those two angles is 180 degrees.

You have algebraic expressions that represent the measures of each of those angles.

Than means you can write the following equation that models the siguation:

7x + 10 + 3x = 180

Now solve for x:

10x + 10 = 180

10x = 170

x=17

Now that you have the value for x you can find the measures for both angle 1 and angle 2.

angle 1 = 7x + 10 = 7(17) + 10 =129

That's the answer to the question, but let's make sure:

angle 2 = 3x = 3(17) = 51

And:

129 + 51 = 180

The fact that the measures of two angles sum to 180 means they are supplementary, but it does not mean that they necessarily form a linear pair.

If two angles form a linear pair, then they are supplementary.

The converse of that statement is not necessarily true:

If two angles are supplementary, then they form a linear pair -> false.