Question
Find the value of $x$ for which the angles $(2x - 5)^\circ$ and $(x - 10)^\circ $ are the complementary angle.
✓
Answer
two angles whose sum is $90^\circ $ are called complementary angles.
It is given that the angles $(2x - 5)^\circ $ and $(x - 10)^\circ $ are the complementary angles.
$\therefore$ $(2x - 5)^\circ + (x - 10)^\circ = 90^\circ $
$ \Rightarrow 3x^\circ - 15^\circ = 90^\circ $
$ \Rightarrow 3x^\circ = 90^\circ + 15^\circ = 105^\circ $
$\Rightarrow\text{x}^\circ=\frac{105^\circ}{3}=35^\circ$ Thus, the value of $x$ is $35$.
It is given that the angles $(2x - 5)^\circ $ and $(x - 10)^\circ $ are the complementary angles.
$\therefore$ $(2x - 5)^\circ + (x - 10)^\circ = 90^\circ $
$ \Rightarrow 3x^\circ - 15^\circ = 90^\circ $
$ \Rightarrow 3x^\circ = 90^\circ + 15^\circ = 105^\circ $
$\Rightarrow\text{x}^\circ=\frac{105^\circ}{3}=35^\circ$ Thus, the value of $x$ is $35$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In figure $POQ$ is a line. Ray $OR$ is perpendicular to line $PQ$. $OS$ is another ray lying between rays $OP$ and $OR$. Prove that $\angle\text{ROS}=\frac{1}{2}(\angle\text{QOS}-\angle\text{POS}).$
→In Fig. $AB\ ||\ DE$ Find $\angle\text{ACD}.$
→Show that the angles of an equilateral triangle are $60^\circ $ each.
→Simplify $(2 x-5 y)^3-(2 x+5 y)^3$.
→Write the value of $\Big\{5\Big(8^{\frac{1}{3}}+27^{\frac{1}{3}}\Big)^3\Big\}^{\frac{1}{4}}.$
→If $\text{x}=\sqrt2-1,$ then write the value of $\frac{1}{\text{x}}.$
→In $\text{BA}\perp\text{AC},\text{DE}\perp\text{DF}$ such that $BA = DE$ and $BF = EC$. Show that $\triangle\text{ABC}\cong\triangle\text{DEF.}$
→Find the volume of the largest right circular cone that can be fitted in a cube whose edge is $14\ cm$.
→In the given figure, $AB\ ||\ CD$ and $EF$ is a transversal, cutting them at $G$ and $H$ respectively. If $\angle\text{EGB}=35^\circ$ and $\text{QP}\perp\text{EF},$ find the measure of $\angle\text{PQH}.$
→In a parallelogram $A B C D$, it is being given that $A B=10\ cm$ and the altitudes corresponding to the sides $A B$ and $A D$ are $D L=6\ cm$ and $B M=8\ cm$, respectively. Find $A D$.
→