Question

Help in linear pairs and vertical angles

Answer 1

elg=124°

eld=2x

elg+eld=180°=>eld=180°-124°=56°/eld=2x=56°=>x=56°/2=28°

eld+dlh=180°=>dlh=180°-56°=124°

hlg+dlh=180°=>hlg=180°-124°=56°

Answer 2

from the figure we get x = 28

Explanation:

Proof is given below

Statements Reason

1). <ELG = 124 Given

2). <ELD = 2x Given

3). <ELG and ELD are linear Definition of linear pair

a pair

4). m<ELD + m<ELG = 180 Sum of linear pair angles 180

5). 2x + 124 = 180 Substitution

6). 2x = 180 - 124 = 56 Subtraction property

7). x = 28 Division property