Alternatives of Postulate 5
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If the angles of a triangle are in the ratio 2 : 3 : 5, the triangle is
acute angled
obtuse angled
Equilateral
Right angled
- 30∘
- 90∘
- 60∘
- 120∘
- 90∘
- 150∘
- 135∘
- 45∘
A triangle ABC is right angled at A. AL is drawn perpendicular to BC. Prove that ∠ BAL = ∠ACB.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/453559/original_Untitled_drawing_282229.jpg)
- 120 ∘
- 150 ∘
- 240 ∘
- 100 ∘
- 20∘
- 60∘
- 80∘
- 40∘
In the following, the set of measures which can form a triangle
,
,
,
,
,
,
,
,
Question 2
In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC<∠QCB. Show that AC > AB.
- 65 ∘
- 45 ∘
- 55 ∘
- 60 ∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/452936/original_Untitled_drawing_282029.jpg)
- 160 ∘
- 120 ∘
- 150 ∘
- 30 ∘
Geometry The measure of one acute angle in a right triangle is four times the measure of the other acute angle.
Write and solve a system of equations to find the measures of the acute angles.
![463680.jpg](https://search-static.byjusweb.com/question-images/toppr_ext/questions/463680.jpg)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/491460/original_Untitled_drawing_28229.jpg)
- 120∘
- 160∘
- 140∘
- 100∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/468669/original_Screenshot_283729.png)
What is the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F ?
- 150∘
- 180∘
- 270∘
- 360∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/619099/original_content_capture_28129.png)
- 1650
- 600
- 1450
- 1200
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/445811/original_Untitled_drawing_281429.jpg)
In the figure, it is known , ∠CBA = 60 ∘ and ∠BCA = 40 ∘. What is the value of ∠CAO ?
- 120 ∘
- 80 ∘
- 100 ∘
- 60 ∘
- 35o
- 50o
- 45o
- 40o
- 55o
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/468443/original_Untitled_drawing_282929.jpg)
∠1 = 50∘, ∠2 = 80∘, ∠3 = 70∘ and
∠4 = 60∘. What is the value of ∠5 +∠6?
- 120∘
- 80∘
- 90∘
- 100∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/490590/original_Screenshot_28729_New.png)
In the given figure, it is known, L1∥ L2 and ∠EBC = 130∘ and ∠ACD = 60∘. What is the value of ∠ACB?
- 40∘
- 60∘
- 70∘
- 50∘
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/468511/original_Untitled_drawing_283129.jpg)
In the above figure, what is the value of
∠1 + ∠2 + ∠3 + ∠4 ?
- 210∘
- 180∘
- 150∘
- 120∘
- The sum of angles of any triangle is a constant and is equal to
two right angles. - Straight lines parallel to the same straight line are parallel to one another.
- All right angles are not equal to one another.
- There is a unique line that passes through a given point.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/452990/original_Untitled_drawing_282129.jpg)
- 145 ∘
- 90 ∘
- 135 ∘
- 75 ∘
In a , and then
![194612_2a70eaf5af1f4276be59d452fecedb79.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/194612_2a70eaf5af1f4276be59d452fecedb79.png)
In the given figure, lines (i) and (ii) are parallel lines and AC is the angle bisector of ∠BAD.
What type of triangle is △ABC?
Equilateral Triangle
Acute Angled Triangle
Isosceles Triangle
Scalene Triangle
- 60o
- 70o
- 80o
- None of the above
![463655.jpg](https://search-static.byjusweb.com/question-images/toppr_ext/questions/463655.jpg)
- 5±√6
- 3√3
- 5
- None of these