Subjective Type

Find, giving reasons, the unknown marked angles, in each triangle drawn below:

Solution

By exterior angle property,

$$110^0 = 2x + 3x$$

$$5x = 110^0$$

$$x = 110^0 / 5$$

We get,

$$x = 22^0$$

Hence,

The value of $$2x = 2 \times 22$$

$$= 44^0$$

The value of $$3x = 3 \times 22$$

$$= 66^0$$

SIMILAR QUESTIONS

Lines and Triangles

In $$\triangle ABC$$, side $$BC$$ has produced to $$D$$. If $$\angle ACD$$ = $$132^{o}$$ and $$\angle BAC$$ = $$54^{o}$$, then $$\angle ABC$$ = ?

Lines and Triangles

In $$\triangle ABC$$, side $$BC$$ has been produced to $$D$$. If $$\angle BAC$$ = $$45^{o}$$ and $$\angle ABC$$ = $$55^{o}$$, then $$\angle ACD$$ = ?

Lines and Triangles

In the given figure, side $$BC$$ of $$\triangle ABC$$ is produced to $$D$$ such that $$\angle ABC$$ = $$70^{o}$$ and $$\angle ACD$$ = $$120^{o}$$. Then, $$\angle BAC$$ = ?

Lines and Triangles

In the given figure, $$\angle A$$ = $$50^{o}$$, $$CE \parallel BA$$ and $$\angle ECD$$ = $$60^{o}$$. Then, $$\angle ACB$$ = ?

Lines and Triangles

In the figure given alongside, find the measure of $$\angle ACD$$

Lines and Triangles

In the figure given alongside, find the values of $$x$$ and $$y$$

Lines and Triangles

In the figure given alongside, find the values of $$x$$ and $$y$$

Lines and Triangles

An exterior angle of a triangle measures $${110}^{o}$$ and its interior opposite angles are in the ratio $$2:3$$. Find the angles of the triangle.

Lines and Triangles

In the figure, $$ \angle B=65^o $$ and $$ \angle C = 45^o $$ in $$ \triangle ABC $$ and $$ DAE \parallel BC $$. If $$ \angle DAB = x^o $$ and $$ \angle EAC = y^o $$, find the values of x and y.

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