Advertisements
Advertisements
Question
Find the measure of ∠A in the following figure.
Advertisements
Solution
∠ACD = ∠ABC + ∠CAB ...[Exterior angle property]
⇒ 115° = 65° + ∠CAB
⇒ ∠CAB = 115° – 65° = 50°
Thus, ∠A = 50°
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown interior angle x in the following figure.
In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.
In the figure find the value of x
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the following figure QP || RT. Find the values of x and y.
In ∆ABC, if ∠A = ∠C, and exterior angle ABX = 140°, then find the angles of the triangle.
Find the value of x in the following figure.
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.
In the following figure, if y is five times x, find the value of z.
In the context of a triangle, which term describes the relationship between an exterior angle and its adjacent interior angle?
