Single Choice

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

A$$50^{o}$$
B$$60^{o}$$
C$$70^{o}$$
Correct Answer
D$$80^{o}$$

Solution

(c) $$70^{o}$$
Because,
Here,
= $$\angle ACE$$ = $$\angle BAC$$ = $$50^{o}$$ [Alternate angles]
= $$\angle ACB + \angle ACE + \angle DCE$$ = $$180^{o}$$ [Linear pair]
= $$\angle ACB$$ = $$180^{o} - (50^{o} + 60^{o})$$
= $$\angle ACB$$ = $$180^{o} - 110^{o}$$
= $$\angle ACB$$ = $$70^{o}$$

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 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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