please please please solve this
Answers
Answer:
PLS MARK AS BRAINLIEST....
Step-by-step explanation:
QRT = QSR + RQS
=> QSR = 65° - 28° = 37°
QRS = X = 37°
RQS = Y = 28°
HOPE IT HELPS U.....
Answer:
Let us name the angle adjacent to y as ' z ' .
Angle z and angle y are complementary angles which means their sum will be equal to 90° .
Let us name the angle adjacent to angle 65° as ' n ' .
Since angle n and angle 65° are an adjacent pair , their sum will be equal to 180° .
= n + 65° = 180°
= 180° - 65° = n
= n = 115°
Now using the angle sum property we can find the value of angle z which is adjacent to angle y .
according to the angle sum property three angles of a triangle add up to 180° . Which means ,
= z + 28° + 115° = 180°
= z + 143° = 180°
= z = 180° - 143°
= z = 37°
Now we know that angle z and angle y are complementary angles which means their sum will be equal to 90° .
= z + y = 90°
= 37° + y = 90°
= y = 90° - 37°
[ y = 53° ]
Angle p which is on the above side of angle y is a right angle which means it's value will be equal to 90° .
Now to find the value of x , we can use the angle sum property ( sum of all angles of a triangle will be equal to 180° )
= x + p + y = 180°
= x + 90° + 53° = 180°
x + 143 = 180°
x = 180 - 143
[ x = 37° ]
Therefore , the value of x = 37° and the value of y = 53° .
Hope you find my answer useful!!!