Question

two angles of a quadrilateral are of measure 50°, and other two angles are equal.What is themeasure of each of these two angles?​

Answer 1

Answer:

The measure of other two angles is 130 °

Step-by-step explanation:

Let the other two angles be x and y...

50 + 50 + x + y = 360 °

100 + x + x = 360 ° ( x = y )

100 + 2x = 360 °

2x = 360 - 100

2x = 260

x = 260 / 2

x = 130 °

so .. y = 130 ° ( x = y )

I hope it helps u cherry ^_^♡♡

sorry cherry at the starting i miscalcated it..

Answer 2

${\huge{\pink{\underline{\underline{Answes}}}}}$

$\bold{Given}$

Two angles of a quadrilateral are of measure= 50°

So ${∠P}$ and ${∠Q}$ = 50°

And other two angles are equal.

So the other two are ${∠R}$ = ${∠S}$ -----(1)

Sum if quadrilateral is = 360°

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒{∠P} + {∠Q} + {∠R} + {∠S} = 360°}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒50° + 50° + {∠R} + {∠S} = 360°}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒50°+ 50° + {∠R} + {∠R} = 360°}$ (from eq [1])

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒100° + 2{∠R} = 360°}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒2{∠R} = 360° - 100°}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒2{∠R} = 260°}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒{∠R} = \frac{260}{2}}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:⇒{∠R} = 130°}$

So ${∠R}$ = 130° Then ${∠S}$ = 130°