the angles having the common arm and common vertex are called adjacent angles yes or no please answer I will mark brainlest
Answers
Step-by-step explanation:
Mathematics Solutions Solutions for Class 7 Math Chapter 4 Angles And Pairs Of Angles are provided here with simple step-by-step explanations. These solutions for Angles And Pairs Of Angles are extremely popular among Class 7 students for Math Angles And Pairs Of Angles Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 7 Math Chapter 4 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 7 Math are prepared by experts and are 100% accurate.
Page No 25:
Question 1:
Observe the figure and complete the table for ∠AWB.

Points in the interior Points in the exterior Points on the arms of the angles
ANSWER:
Points in the interior R, C, N, X Points in the exterior T, U, Q, V, Y Points on the arms of the angles A, W, G, B
Page No 25:
Question 2:
Name the pairs of adjacent angles in the figures below.

ANSWER:
Two angles which have a common vertex, a common arm and separate interiors are said to be adjacent angles.
The pairs of adjacent angles are given below:
∠ANB and ∠BNC,
∠BNC and ∠ANC,
∠ANC and ∠ANB,
∠PQR and ∠PQT
Page No 25:
Question 3:
Are the following pairs adjacent angles? If not, state the reason.
(i) ∠PMQ and ∠RMQ (ii) ∠RMQ and ∠SMR
(iii) ∠RMS and ∠RMT (iv) ∠SMT and ∠RMS

ANSWER:
Two angles which have a common vertex, a common arm and separate interiors are said to be adjacent angles
(i)
In ∠PMQ and ∠RMQ, M is the common vertex and MQ is the common arm.
Therefore, ∠PMQ and ∠RMQ are adjacent angles.
(ii)
The angles ∠RMQ and ∠SMR have a common vertex M, but don't have common arm.
Therefore, ∠RMQ and ∠SMR are not adjacent angles.
(iii)
The angles ∠RMS and ∠RMT have a common vertex M, but don't have common arm.
Therefore, ∠RMS and ∠RMT are not adjacent angles.
(iv)
In ∠SMT and ∠RMS, M is the common vertex and SM is the common arm.
Therefore, ∠SMT and ∠RMS are adjacent angles.
Page No 26:
Question 1:
The measures of some angles are given below. Write the measures of their complementaryangles.
(i) 40° (ii) 63° (iii) 45°(iv) 55° (v) 20° (vi) 90° (vii) x°
ANSWER:
(i)
Let the measure of the complementary angle be a.
40 + a = 90
∴ a = 50°
Hence, the measure of the complement of an angle of measure 40° is 50°
(ii)
Let the measure of the complementary angle be a.
63 + a = 90
∴ a = 27°
Hence, the measure of the complement of an angle of measure 63° is 27°
(iii)
Let the measure of the complementary angle be a.
45 + a = 90
∴ a = 45°
Hence, the measure of the complement of an angle of measure 45° is 45°
(iv)
Let the measure of the complementary angle be a.
55 + a = 90
∴ a = 35°
Hence, the measure of the complement of an angle of measure 55° is 35°
(v)
Let the measure of the complementary angle be a.
20 + a = 90
∴ a = 70°
Hence, the measure of the complement of an angle of measure 20° is 70°
(vi)
Let the measure of the complementary angle be a.
90 + a = 90
∴ a = 0°
Hence, the measure of the complement of an angle of measure 00° is 0°
(vii)
Let the measure of the complementary angle be a.
x + a = 90
∴ a = (90 − x)°
Hence, the measure of the complement of an angle of measure x° is (90 − x)