Question

The measure of two angles of a quadrilateral are 125 degree and 55 degree and the other two angles are equal. Measure of each equal angle is which angle?​

Answer 1

Step-by-step explanation:

It is given that three angles are equal and measure of fourth angle is 120

o

.

Let the measure of each of the equal angles be x

We know that, sum of four measure of angles of quadrilateral is 360

o

.

⇒ x+x+x+120

o

=360

o

⇒ 3x+120

o

=360

o

⇒ 3x=240

o

⇒ x=80

o

Hence, this is the answer.

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Answer 2

QUΣSTIΩΠ : THΣ MΣΔSURΣ ΩҒ TШΩ ΔΠGLΣS ΩҒ Δ QUΔDRILΔTΣRΔL ΔRΣ 125 DΣGRΣΣ ΔΠD 55 DΣGRΣΣ ΔΠD THΣ ΩTHΣR TШΩ ΔΠGLΣS ΔRΣ ΣQUΔL. MΣΔSURΣ ΩҒ ΣΔCH ΣQUΔL ΔΠGLΣ IS ШHICH ΔΠGLΣ?

ШHΔT TΩ DΩ : ҒIΠD UΠҜΠΩШΠ ΔΠGLΣS

SΩLUTIΩΠ : ШΣ ҜΠΩШ THΔT SUM ΩҒ ΔΠGLΣS ΩҒ QUΔRDILΔTΣRΔL IS 360° THΣRΣҒΩRΣ ,

LΣT UΠҜΠΩШΠ ΔΠGLΣS βΣ X . THΣΠ ,

=> X + X + 125 + 55 = 360

=> 2X + 180 = 360

=> 2X = 360 - 180

=> X = 180/2

=> X = 90

UΠҜΠΩШΠ ΔΠGLΣS = 90° ΣΔCH

HΩPΣ IT HΣLPS !

PLΣΔSΣ MΔRҜ ΔS βRΔIΠLIΣST