Angle Sum Property of a Triangle

Find the angles of the triangle ABC, given that the lines a and b are parallel, 

The three angles of a triangle are $(3x-5)°,(2x+55)°$ and $(5x-50)°$. Find the value of $x$ in degree.

An acute angle of a right-angled triangle is $33°$. Find its other acute angle in degree.

If two angles of a triangle are $51°$ and $38°$, then find the third angle in degree.

The measure of an angle of a right-angled triangle is $30°$. Find the measure of its other angle in degree $\left(°\right)$.

In the triangle ABC, sides BC, CA, and AB are extended to point D, E, and F so that $\angle$BAE, $\angle$ACD, $\angle$CBF are exterior angles.
What is the sum of the exterior angles?

Find the sum of the exterior angles in degrees.

In the triangle below, $x=$ _____$°$.

What is the value of $x$ in the below triangle?

The value of $x=$ _____degrees.

If the angles of $△$ are in the ratios $1 : 2 : 3$, then it is _____ angled triangle.

In $△ABC$, $\angle BAC={90}^{°}$ and$AD\perp$$BC$. If $\angle BAD=40°$, then what is the numerical value of $\angle ACD$?

Sum of the angles of a triangle is _____.

In the adjoining figure, $\mathrm{O}$ is the centre of the circle and $\mathrm{AB}$ is a tangent to it at point $\mathrm{B} \text{and} \angle \mathrm{BDC} = 65°.$ If$\angle \mathrm{BAO}=k°$,then find value of $k$

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In the given figure, $\mathrm{AB}$ is the diameter of the circle with centre $\mathrm{O},$ and $\mathrm{AT}$ is the tangent. Calculate the numerical value of $x$.

In the given figure,$\mathrm{ABCD}$ is a cyclic quadrilateral, $\mathrm{PQ}$ is tangent to the circle at point $\mathrm{C}$ and $\mathrm{BD}$ is its diameter. If $\angle \mathrm{DCQ}=40°$ and $\angle \mathrm{ABD}=60°,$ find $\angle \mathrm{ADB}$.

If $\mathrm{PQ}$ is a tangent to the circle at $\mathrm{R},$ calculate $\angle \mathrm{ROT}.$ Given that, $\mathrm{O}$ is the centre of the circle and angle $\mathrm{TRQ} = 30°.$

EDC is a triangle formed in this image. What is the value of angle q ?

In figure, using angle sum property of a triangle, find out value of x in terms of $ \alpha $ , $ \beta $ , $ \gamma $ ?

The angles of a triangle are in ratio 3 : 4 : 5
What is the measure of its angles?

Two angles of a triangle are 105^o and 40^o. What is the measure of its third angle?