5. Two angles of a triangle are equal and the equal angle is greater than each one of them by 18°. What is the measure of the third angle
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Answers
Answer:
Consider ∠A and ∠B in a triangle is xo
We know that the sum of all the angles in a triangle is 180°
So we can write it as
∠A + ∠B + ∠C = 180°
By substituting the values
x°+ x° + ∠C = 180°
By addition
2x°+ ∠C = 180° ….. (1)
According to the question we get
∠C = x° + 18°……. (2)
By substituting (2) in (1) we get
2x°+ x° + 18°= 180°
On further calculation
3x°+ 18°= 180°
By subtraction
3x° = 180° – 18°
3x°= 162°
By division
x°= 162/3
x° = 54°
By substituting the values of x
∠A = ∠B = 54°
∠C = 54°+ 18°= 72°
Therefore, ∠A = 54°, ∠B = 54° and ∠C = 72°
Step-by-step explanation:
An article is any member of a class of dedicated words that are used with noun phrases to mark the identifiability of the referents of the noun phrases. The category of articles constitutes a part of speech. In English, both "the" and "a/an" are articles, which combine with nouns to form noun phrases.