Find the value of the unknown x in the following diagrams ( Right and Step by step explained answer will be marked as Brainliest ) Blue tick mark is the question
Answers
Answer:
x = 60°
x = 40°
Step-by-step explanation:
Note:
The explanation which will be given below is applied for both the math problems. So, do not get confused and make sure that you understand completely.
We have learnt in the previous classes that the sum of the 3 angles of a triangle is always equal to 180°.
This means that
∠1 + ∠2 + ∠3 = 180°
Applying this,
i) In ΔPQR,
∠P + ∠Q + ∠R = 180°
90° + 30° + x° = 180°
120° + x° = 180°
∴ x = 180 - 120
x = 60°
Another point to remember is that if the triangle contains a square like representation as given in the triangle PQR, this means that the value of the angle is 90°.
ii) In ΔXYZ,
∠X + ∠Y + ∠Z = 180°
30° + 110° + x° = 180°
140° + x° = 180°
∴ x = 180 - 140
x = 40°
Answer:
1)x+90°+30°=180°
x=180°-(90°+30°)
x=18°0-120°
x=60°
2)x+110°+30°=180°
x=180°-(110°+30°)
x=180°-140°
x=40°