Question

Q 1 = Two adjacent angles of a parallelogram are (2x+8)° and (2x - 16)°. Find the value of 'x' and hence find the measure of each of its angles.
Q 2 = In the given figure , HELP is a parallelogram .( lengths are in and ) . GIVN that OE = 4 and
Hl is 5 more than PE ? Find OH

Hey guys plz help me out from this question and plz tell the answer fast and correct too
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Answer 1

Step-by-step explanation:

Q.1 sum of adjacent angles of parallelogram is 180°

(2x+8)° + (2x - 16)°= 180°

4x-8 = 180°

4x= 180+8

4x = 188

x = 188 ÷ 4

x = 47

Te opposite angles of a parallelogram are congruent. Therefore measures of all angles of a parallelogram are,

(2x+8)° = 47×2 + 8

= 94 + 8

= 102

(2x - 16)° = 47× 2 - 16

= 94 - 16

= 78

thus, measures of all angles of a parallelogram are 102°, 78°, 102°, 78°.

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