Mathematics
The angles of a triangle are 5(x - 4)°, (4x + 5)° and (x + 25)°, then the value of x is :
17
18
19
21
Triangles
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Answer
By angle sum property of triangle,
⇒ 5(x - 4)° + (4x + 5)° + (x + 25)° = 180°
⇒ 5x° - 20° + 4x° + 5° + x° + 25° = 180°
⇒ 10x° + 10° = 180°
⇒ 10x° = 180° - 10°
⇒ 10x° = 170°
⇒ x° =
⇒ x° = 17°
⇒ x = 17.
Hence, option 1 is the correct option.
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Case Study
Ms Anu Gupta teaches mathematics to class 9 in a school. One day she drew a figure on the board in the class. She provided the following clues to the students.
AB || CD
O is the mid-points of AD
Based on this information, answer the following questions:
△OAB ≅ △ODC by which of the following congruent condition?
(a) SAS
(b) ASA
(c) SSS
(d) RHS∠AOB = ∠DOC holds because:
(a) Alternate angles are equal
(b) Corresponding angles are equal
(c) Vertically opposite angles are equal
(d) None of theseWhich of the following is correct?
(a) ∠A = ∠C
(b) ∠B = ∠D
(c) ∠B = ∠C
(d) ∠AOB = ∠OCBWhich of the following is correct?
(a) AO = OB
(b) AB = OB
(c) OD = CD
(d) OC = OBWhich of the following is not a congruent condition?
(a) ASA
(b) SSS
(c) AAA
(d) AAS