Advertisements
Advertisements
प्रश्न
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Advertisements
उत्तर
Consider , ΔABC we have `∠B=70^@` and AB =AC
Since, AB A C ABC is an isosceles triangle
⇒ ∠B=∠C [Angles opposite to equal sides are equal]
⇒`∠B = ∠C = 70^@`
And also,
Sum of angles in a triangle `180^@`
⇒ `∠A+∠B+∠C=180^@`
⇒`∠A+70^@+70^@=180^@`
⇒`∠A+140^@=180^@`
⇒`∠A=180^@-140^@⇒∠A=40^@`

APPEARS IN
संबंधित प्रश्न
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to `bar(EF)`
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
Which of the following is not a criterion for congruence of triangles?
In the given figure, if AE || DC and AB = AC, the value of ∠ABD is

ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =

In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?

If the following pair of the triangle is congruent? state the condition of congruency:
In ΔABC and ΔPQR, BC = QR, ∠A = 90°, ∠C = ∠R = 40° and ∠Q = 50°.
In the figure, ∠CPD = ∠BPD and AD is the bisector of ∠BAC. Prove that ΔCAP ≅ ΔBAP and CP = BP.
In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
