Question

Two angles of quadrilater measure 75°. Other two angles are equal, find these two angles.​

Answer 1

Step-by-step explanation:

Let other angles be x.

Now,

Sum of all angles of quadrilateral =360°

x + 75° + x + 75° = 360°

2x = 360°–150°

x = 210°/2 = 105°

So, other two angles are 75° each.

Answer 2

LET X AND Y BE OTHER ANGLES

NOW AS PER GIVEN CONDITION X=Y

NOW, IN QUADRILATERAL SUM OF ALL ANGLES IS EQUAL TO 360°

THUS 2(75°) + 2(X) = 360°

THUS 75° + X = 180

THUS X=105°

SINCE TWO ANGLES WERE EQUAL

THEREFORE THOSE ANGLES ARE 105°AND 105° RESPECTIVELY