Advertisements
Advertisements
Question
In the given figure find the values of x and y
Advertisements
Solution
In ∆BCA, ∠BAX = 62° is the exterior angle at A
Exterior angle = sum of interior opposite angles
∠ABC + ∠ACB = ∠BAX
28° + x = 62°
x = 62° – 28°
= 34°
Also ∠BAC + ∠BAX = 180° ...[∵ Linear pair]
y + 62° = 180°
y = 180° – 62°
= 118°
x = 34°
y = 118°
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown interior angle x in the following figure.
Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.
Find the value of x in the given triangle
In the following figure, if AB || CD, then ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the given figure, ∠PRS = ∠ ______ + ∠ _______
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
In the following figure, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.
