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In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle.
A
60\u00b0
B
30\u00b0 \
C
90\u00b0
D
45\u00b0
Correct Answer:
30\u00b0 \
B) 30°
The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?
A
80 degrees
B
60 degrees
C
120 degrees
D
40 degrees
Consider the following statements :I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.Of these statements :
A
I and II both are true
B
I is true and II is false
C
I is false and II is true
D
None of these
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
A
1.4
B
0.054
C
0.8
D
1.0
The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?
A
225 deg
B
210 deg
C
205 deg
D
245 deg
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$ is equal to = ?
A
24
B
32
C
44
D
100
Consider the following statements :I. Every equilateral triangle is necessarily an isosceles triangle.II. Every right-angled triangle is necessarily an isosceles triangle.III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.The correct statements are:
A
I and II
B
II and III
C
I and III
D
I, II and III
The difference between two angles of a triangle is 24°. The average of the same two angles is 54°. Which one of the following is the value of the greatest angle of the triangle?
A
45°
B
60°
C
66°
D
72°
The first three angles measures 10% less than the second. The third angle measures 20% more than the sum of the other two. Find the three angles of a triangle.
A
30 degree, 40 degree, 110 degree
B
45 degree, 45 degree, 90 degree
C
35 degree, 45 degree, 100 degree
D
60 degree, 30 degree, 90 degree
A triangle has an angle of 82 degree The ratio of the other two angles is 2: 5 what is the smallest angle of the triangle?
A
7 degree
B
28 degree
C
98 degree
D
14 degree
A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?
A
2xy
B
0.5xy
C
0.66xy
D
4xy