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2021CanadyRaniya
01.11.2019 •
Mathematics
If the measure of angle gef is thirteen less than 5 times the measure of angle deg and the measure of angle def is 149°, find the measure of angle gef.
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Ответ:
122°
Step-by-step explanation:
Step-by-step explanation:
Given :
From the diagram,
m∠GEF is 13 less than 5 times m∠DEG and ∠DEF = 149°,.
To Find :
the value of m∠GEF..
Solution :
As per given data,
m∠GEF = 5m∠DEG - 13° ...(i)
∠DEF = 149° ⇒ m∠GEF + m∠DEG = 149° ..(ii)
Substituting value of m∠GEF in (ii),
We get,
(5m∠DEG - 13°) + m∠DEG = 149°
6m∠DEG - 13° = 149°
6m∠DEG = 149° + 13° = 162°
m∠DEG = ° = 27°
Substituting value of m∠DEG in (i),
We get,
m∠GEF = 5(27°) - 13°
m∠GEF = 135° - 13°= 122°
Ответ:
An expression is written as a phrase and an equation is written as a statement. Equations are written as sentences with capitalization and punctuation. Expressions are written as phrases with no capitalization or punctuation. An equation has an equals sign and an expression does not.
Step-by-step explanation: