$\angle ABD$ and $\angle DBC$ are adjacent angles. If $\angle ABD = 1.5x^{\circ}$,$\angle DBC = 2x^{\circ}$,and $\angle ABC = 70^{\circ}$,then find $x$ and the measures of $\angle ABD$ and $\angle DBC$.
- A$x = 20^{\circ}, \angle ABD = 30^{\circ}, \angle DBC = 40^{\circ}$
- B$x = 15^{\circ}, \angle ABD = 22.5^{\circ}, \angle DBC = 30^{\circ}$
- C$x = 25^{\circ}, \angle ABD = 37.5^{\circ}, \angle DBC = 50^{\circ}$
- D$x = 10^{\circ}, \angle ABD = 15^{\circ}, \angle DBC = 20^{\circ}$
Explore More
Similar Questions
In the given figure,find the values of $x$ and $y$ and then show that $PQ \parallel XY.$
Medium
View Solution$\angle A$ and $\angle B$ are complementary angles. If $\angle A : \angle B = 1 : 5$,then find $\angle A$ and $\angle B$.
Medium
View Solution$\angle A$ and $\angle B$ are supplementary angles. If $\angle A : \angle B = 3 : 7$,then $\angle B = \dots$ (in $^o$)
Medium
View Solution$\angle P$ and $\angle Q$ are complementary angles. If $\angle P = 3x + 15^{\circ}$ and $\angle Q = x + 7^{\circ}$,then find $\angle P$ and $\angle Q$.
Medium
View SolutionIn the following figure,lines $AB$ and $CD$ intersect at $O.$ If $\angle AOC + \angle BOE = 100^{\circ}$ and $\angle BOD = 40^{\circ},$ find $\angle BOE$ and reflex $\angle COE.$
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo