Question

In triangle FGH, the measures of angles F, G., and H, respectively, are
in the ratio 4:4:10 find the measure of each angle

m<F =
m<G =
m<H =​

I will mark u as brainlist

Answer 1

The angles F, G, H are 40°, 40° and 100° respectively.

• Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
• For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio. The letter ":" in this context means "is to." Therefore, "17 is to 13" represents the proportion of those who prefer to walk to those who prefer to cycle.
• Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Here, according to the given information, we are given that,

The angles are given in the ratio 4:4:10.

Let the angles be 4x, 4x and 10x.

Now, we know that sum of the angles of a triangle is equal to 180 degrees.

Then, we get,

$4x+4x+10x = 180.$

Or, $18x=180.$

Or, $x =10.$

Then, we get,

$F = 4x = 4.(10) = 40.\\G = 4x = 4.(10) = 40.\\H = 10x = 10.(10) = 100.$

Hence, the angles F, G, H are 40°, 40° and 100° respectively.

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