Q-1: Q1. In a triangle ABC if ∠A = 53° and ∠C = 44 then the value of ∠B is :(i) 46° (ii) 83° (iii) 93° (iv) 73° Q2. Two parallel lines intersect at :(i)One point (ii)Two points (iii)Three points (iv)Nil lQ3. An exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 1 : 3, measure of interior opposite angles are (i) 30°, 90° (ii) 40°, 120° (iii) 20°, 60 °(iv) 30°, 60 °Q4. An acute angle is :(i) More than 90 degrees (ii) Less than 90 degrees (iii) Equal to 90 degrees (iv) Equal to 180 degrees Q5. An angle is 14° more than its complementary angle, then angle is :(i) 38° (ii) 52 °(iii) 50° (iv) None of these GIVE ANSWER AS FOLLOW *
Answers
Answer:
In the given figure , line RP || line MS and line DK is their transversal. ∠DHP = 85°
Find the measures of following angles.
(i) ∠RHD (ii) ∠PHG
(iii) ∠HGS (iv) ∠MGK
ANSWER:
(i) Since, RP is a straight line and ray HD stands on it, then
∠RHD + ∠DHP = 180∘ (angles in a linear pair)
⇒∠RHD + 85∘ = 180∘
⇒∠RHD = 180∘ − 85∘ = 95∘
(ii) Since the straight lines RP and DK intersect at H, then
∠PHG = ∠RHD (Vertically opposite angles)
⇒∠PHG = 95∘
(iii) Since, the line RP || line MS and line DK is their transversal intersecting them at H and G, then
∠HGS = ∠DHP (Corresponding angles)
⇒∠HGS = 85∘
(iv) Since, the straight lines MS and DK intersect at G, then
∠MGK = ∠HGS (Vertically opposite angles)
⇒∠MGK = 85∘
Answer:
Q1 sum of all the angle of a triangle is 180°
so,angle A + angle C+ angle B = 180°
putting the value
53°+ 44°+angle B = 180°
97°+angle B = 180°
angle B = 180°- 97°
angle B = 83°
ii) 83°
Q4 ii) Less than 90 degrees
Q5 iv) non of these
The answer i know is in front of you hope it is useful for you