Given: angle one and angle two forms a linear pair; angle one and angle three are supplementary Prove: angle two is congruent to angle three
Step by step please, that would be great

Step-by-step explanation:

angle 1 & angle 2 are linear pair. That means both the angles form a straight angle (or 180°). Hence ,

Also it's given that angle 1 & angle 3 are supplementary. It means that their sum will be equal to 180° . So ,

Putting the value of m(1) in above eqn. gives :-

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.