21 (a) Show that the sum of the interior angles of a pentagon is 540°. [1] (b) In this part, all angles are in degrees. 3x-25 3x-5 x+35 NOT TO SCALE x+40 2x The diagram shows the five interior angles of a pentagon, written in terms of x. (i) Write down an expression, in terms of x, for the sum of the interior angles of the pentagon. Give your answer in its simplest form. ................................................. [2] (ii) Work out the value of x. x = ................................................ [2] (cid:300)(cid:205)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:181)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:259)(cid:270)(cid:250)(cid:218)(cid:294)(cid:288)(cid:241)(cid:224)(cid:254)(cid:238)(cid:254)(cid:238)(cid:292)(cid:297)(cid:290)(cid:257)(cid:258) 0580/32/F/M/25 (cid:293)(cid:213)(cid:277)(cid:213)(cid:245)(cid:245)(cid:261)(cid:245)(cid:293)(cid:261)(cid:261)(cid:261)(cid:197)(cid:181)(cid:261)(cid:245)(cid:245)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000015 * 15 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44) BLANK PAGE (cid:300)(cid:207)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:181)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:259)(cid:269)(cid:249)(cid:210)(cid:292)(cid:292)(cid:257)(cid:217)(cid:252)(cid:259)(cid:203)(cid:234)(cid:284)(cid:173)(cid:290)(cid:241)(cid:258) 0580/32/F/M/25 (cid:293)(cid:213)(cid:293)(cid:277)(cid:181)(cid:277)(cid:293)(cid:277)(cid:245)(cid:245)(cid:213)(cid:261)(cid:197)(cid:213)(cid:293)(cid:181)(cid:293)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000016 * 16 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44) BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. (cid:300)(cid:205)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:181)(cid:260)(cid:215) © UCLES 2025 (cid:300)(cid:259)(cid:269)(cid:252)(cid:210)(cid:298)(cid:274)(cid:264)(cid:222)(cid:246)(cid:268)(cid:196)(cid:268)(cid:184)(cid:271)(cid:242)(cid:265)(cid:258) 0580/32/F/M/25 (cid:293)(cid:293)(cid:181)(cid:277)(cid:245)(cid:277)(cid:293)(cid:181)(cid:277)(cid:213)(cid:229)(cid:261)(cid:261)(cid:213)(cid:197)(cid:181)(cid:245)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD