1103076905 Level: AThe triangle in the diagram is divided into two isosceles triangles AKC and KBC which have the same area. Calculate the size of the angle β if you know that the measure of ∡AKC is 140∘.70∘60∘50∘40∘
2000003201 Level: AThere is a triangle ABC in the picture. Choose the correct statement.The triangle is isosceles.The triangle is equilateral.The triangle is right-angled.The triangle is obtuse.
2000003202 Level: AAn isosceles triangle ABC is given in the picture. What are the measures of its interior angles?α=27∘; β=27∘; γ=126∘α=54∘; β=54∘; γ=72∘α=63∘; β=63∘; γ=153∘α=126∘; β=27∘; γ=27∘
2000003203 Level: AA deltoid is composed of two isosceles triangles that have a common base. See the picture. Find the measures of the deltoids interior angles.α=36∘; β=134∘; γ=56∘; δ=134∘α=36∘; β=100∘; γ=56∘; δ=100∘α=56∘; β=134∘; γ=56∘; δ=134∘α=36∘; β=128∘; γ=56∘; δ=128∘
2000003204 Level: AThe picture shows a triangle ABC with a circumscribed circle k that is centered at S. What is the measure of the angle β?58∘32∘148∘64∘
2000003205 Level: AThere is an equilateral triangle ABC in the picture. Choose the correct statement.The triangle KBC is acute-angled.The triangle KBC is right-angled.The triangle KBC is obtuse-angled.The triangle KBC is isosceles.
2000003206 Level: AFind the measure of the angle α, if the line a is parallel to the line b. See the picture.53∘55∘125∘72∘
2000003207 Level: ATwo isosceles obtuse-angled triangles are symmetrical about the axis o. See the picture. What is the measure of the angle δ?280∘160∘320∘340∘
2010015201 Level: AInterior angles of a triangle ABC are in the ratio α:β:γ=3:5:7. Calculate the measures of these angles.α=36∘; β=60∘; γ=84∘α=30∘; β=50∘; γ=70∘α=16.5∘; β=30∘; γ=133.5∘α=84∘; β=60∘; γ=36∘